18.1 volume of prisms and cylinders homework answers

• Math Lessons
• For Teachers

Other Resources SAT Prep Blog

Support us merch donate.

• Other Resources

QUICK LINKS

Volume of Cylinders and Prisms Calculator

Introduction

Key Steps: How to Find the Volume of Cylinders and Prisms

Volume of Cylinders & Prisms

Practice: Volume of Cylinders & Prisms

Back to all math lessons

Volume of Cylinders and Prisms

Volume of cylinders & prisms calculator.

Step 1. Imagine & identify the base.

Step 2. Calculate the area of the base .

Step 3. Multiply the area of the base by the height ( H ) of the cylinder .

Pick your cake shape:

You can also use the Quick Links menu on the left to jump to a section of your choice.

You can also use the Quick Links dropdown above to jump to a section of your choice.

How to Find the Volume of Cylinders & Prisms

Two Tips to Teach Volumes of Prisms and Cylinders

I have seen so many math teachers that destroy this lesson because they cannot draw the shapes that they are teaching. One of which was a college professor of mine. As a student this is distracting. Not only are they trying to learn the materials that you are teaching but they are also trying to figure out what the heck you are drawing on the board.

Here's a tip...

If you can't draw the shapes, then don't! I know, great tip! Right?

Seriously though... There are so many methods to teach this. Why screw up your great lesson with poor drawings. You can bring in 3D shapes like cereal boxes, coffee cans, ect. Teach with them and then actually have them find the Volumes of Prisms and Cylinders. This gives you a real world example as well.

Nothing mind blowing there. Just a way to keep them focused on the lesson not the drawings.

Second thing you could do is use a projector, SmartBoard, iPads, or some other means of technology and download sample pictures. The bottom line is just don't let your art abilities or lack there of be the reason your students struggle with this lesson.

You could even use a video like this one. He is a great teacher and the video has no free hand drawings. Then whip out the 3D shapes and have them get to work!

Below the video are a few free worksheets to help you along the way. If you want access to everything all year long just join the Geometry Teacher Community and throw those old textbooks in the trash!

Hope to see you inside! 🙂

Here is your free content for this lesson!

Volumes of Prisms and Cylinders PDFs

11-4 Assignment Student Edition - Volumes of Cylinders and Prisms  ( FREE ) 11-4 Assignment Teacher Edition - ( Members Only ) 11-4 Bell Work Student Edition - Volumes of Cylinders and Prisms  ( FREE ) 11-4 Bell Work Teacher Edition - ( Members Only ) 11-4 Lesson Plan - Volumes of Prisms and Cylinders ( Members Only ) 11-4 Guided Notes SE - Volumes of Cylinders and Prisms ( FREE ) 11-4 Guided Notes Teacher Edition - Volumes of Cylinders and Prisms ( Members Only ) 11-4 Class Activity - Volumes of Prisms and Cylinders ( Members Only ) 11-4 Online Activities ( Members Only ) 11-4 Exit Quiz Student Edition - Volumes of Cylinders and Prisms  ( FREE ) 11-4 Exit Quiz Teacher Edition - ( Members Only ) 11-4 Slide Show - Volumes of Prisms and Cylinders  ( FREE ) 11-4 Video Lesson ( Members Only )

Volumes of Prisms and Cylinders Word Docs & PowerPoints

To gain access to our editable content Join the Geometry Teacher Community! Here you will find hundreds of lessons, a community of teachers for support, and materials that are always up to date with the latest standards.

Want access to the rest of the materials on Volumes of Prisms and Cylinders?

To download the rest of the materials for this lesson and get updates via email when new lessons come out simply click the image below to Get All of Our Lessons!

Click Here to Join Now!

Find and Use Slopes of Lines

Teaching midpoint and distance in the coordinate plane, teaching congruent figures, triangle congruence by asa and aas, teaching perpendicular and angle bisectors, teaching bisectors in triangles, best geometry books for kids, proving theorems in geometry, how to prove lines are parallel, teaching logic in geometry, teaching angle pairs, proofs with uno cards, valentine’s day math activity – classifying quadrilaterals, christmas math worksheets, thanksgiving worksheet for geometry – happy turkey day, halloween geometry activities high school, how to teach classifying polygons, points lines and planes, tessellation project, the unit circle – hand trick, introduction to trigonometry, pi day top 5 for geometry teachers, polygons in the coordinate plane – how to use geogebra, teaching tessellations to your geometry class, 3 ways to make your life easier as a geometry teacher without more geometry worksheets, reasoning and proof, geometry games – dance dance transversal, midsegments of triangles, planning a proof, triangle congruence by sss and sas, pythagorean theorem – nfl and geometry, inequalities in one triangle, parallel lines cut by a transversal – colorful flip book notes, measuring angles putt-putt course design project, how to teach tangent lines – graphic organizer, segment addition postulate, parallel lines and transversals, nets and drawings for visualizing geometry – geometry nets project, ratios and proportions – bad teacher, hybrid flipped classroom model, how to teach perimeter and area of similar figures – in jay leno’s garage, how to create a jeopardy game, 5 tips for new teachers, 8 teacher discounts you don’t want to miss this summer, your students are cheating with this math app, how to setup and use google classroom and google forms to teach geometry, special right triangles – the foundation of everything trig, how to use google forms and word clouds to help your students master their geometry vocabulary, interactive geometry teaching techniques, the magic octagon – understand congruence in terms of rigid motions, attention getters to keep your geometry class locked in, teaching strategies for your inclusion geometry class without an intervention specialist, how to teach the properties of quadrilaterals, how to make geometry interesting, how to teach circles using the common core standards, full year of geometry lesson plans, how a rock star geometry teacher uses the ipad to educate, are you a geometry teacher with no textbooks or geometry worksheets, how to deal with a class clown – classroom management strategies, geometry lessons | the game has changed | common core standards, teaching dimensions with super mario – geometry, lesson for the first day of geometry class, freebie pre-requisite resources for this lesson:.

Adding and Subtracting Matrices – Using Rainbows

The Nightmare of Exploring Conic Sections

The Pythagorean Theorem – Like You’ve Never Seen It Before

Transforming Parabolas – The Angry Birds Project

The Distributive Property – Cupcakes and Algebra

• Factoring to Solve Quadratic Equations – Know Your Roots

Pythagorean Theorem – NFL and Geometry

• Adding and Subtracting Fractions – Cut the Cheese

How to Teach Simplifying Radicals

The Order of Operations – Don’t ask your Calculator

Don't Forget to Pin This Lesson on Volumes of Prisms and Cylinders

Share this:

• Click to share on Facebook (Opens in new window)
• Click to share on Pinterest (Opens in new window)
• Click to share on Reddit (Opens in new window)
• Click to share on Twitter (Opens in new window)
• Click to email this to a friend (Opens in new window)
• Click to print (Opens in new window)
• Click to share on LinkedIn (Opens in new window)
• Click to share on Pocket (Opens in new window)
• Click to share on Tumblr (Opens in new window)

Graphing Exponential Functions - Module 10.2

​ Model Exponential Growth and Decay - Module 10.3 (Part 1)

Model Exponential Growth and Decay - Module 10.3 (Part 2)

Circes - Module 12.1 (Part 1)

Circles - Module 12.1 (Part 2)

Parabolas - Module 12.2 (Part 1)

Parabolas - Module 12.2 (Part 2)

Parabolas - Module 12.2 (Part 3)

Parabolas - Module 12.2 (Part 4)

Parabolas - Module 12.2 (Part 5)

Solving Linear-Quadratic Systems Module 12.3 (Part 1)

Solving Linear-Quadratic Systems Module 12.3 (Part 2)

Review for Test on Mods 10, 11, and 12 (Part 1)

Review for Test on Mods 10, 11, and 12 (Part 2)

Review for Test on Mods 10, 11, and 12 (Part 3)

Proofs - Day 1

​ Proofs - Day 2

Proofs - Day 3

Understanding Polynomial Expressions - Module 4.1

Adding Polynomial Expressions - Module 4.2

Subtracting Polynomial Expressions - Module 4.3

Review on Module 4

Please Donate, if you're a regular!

The donate link is below. Thanks so much!!

Domain, Range, and End Behavior - Module 1.1 (Part 1)

Domain, Range, and End Behavior - Module 1.1 (Part 2)

Lesson Performance Task - Page 16

Characteristics of Function Graphs - Module 1.2

Graphing Calculator Exercise - Module 1.2

Inverse of Functions - Module 1.3

Review on Module 1 - Analyze Functions

Connecting Intercepts and Zeros - Module 7.1 (Part 1)

Connecting Intercepts and Linear Factors - Module 7.2 (Part 1)

The x-intercepts and Zeros of a Function - Module 7.2 (Part 2)

The Zero Product Property - Module 7.3

Review For Unit 3 Test (Part 1)

Review For Unit 3 Test (Part 2)

​ Rio Review for Unit 3 Test - 2019

Dilations - Module 16.1

​Proving Figures Similar Using Transformations - Mod 16.2

Corresponding Parts of Similar Figures - Module 16.3

AA Similarity of Triangles - Module 16.4

Second Semester

Solving Quadratics by Taking Square Roots - Module 11.1 (Part 1)

The Imaginary Number " i " - Module 11.1 (Part 2)

Imaginary Solutions to Simple Quadratic Equations - Module 11.1 (Part 3)

Complex Numbers - Module 11.2

Finding Complex Solutions of Quadratic Equations - Module 11.3 (Part 1)

Applications with Complex Solutions - Module 11.3 (Part 2)

Understanding Rational Exponents and Radicals - Module 3.1 (Part 1)

Understanding Rational Exponents and Radicals - Module 3.1 (Part 2)

Simplifying Square Roots (Radicals) - Module 3.1 (Part 3)

Simplify Rational Exponents and Radicals - Module 3.2 (Part 1)

Simplify Rational Exponents and Radicals - Module 3.2 (Part 2)

More Simplifying Radicals - Module 3.2 (Part 4)

Properties of Exponents - Module 3.2 (Part 5)

Review For Test on Module 3

The Tangent Ratio - Module 18.1

Sine and Cosine Ratios - Module 18.2 (Part 1)

Sine and Cosine Ratios - Module 18.2 (Part 2)

Special Right Triangles - Module 18.3 (Part 1)

Special Right Triangles - Module 18.3 (Part 2)

Review 1 SOHCAHTOA Module 18 Test

Review 2 Special Right Triangles Module 18 Test

Review 3 SOHCAHTOA Word Problems Mod 18 Test

Review 4 for Module 18 Test

Understanding Quadratic Functions - Module 6.1 (Part 1)

Write Quadratic Functions From a Graph - Module 6.1 (Part 2)

Modeling with Quadratic Functions - Module 6.1 (Part 3)

Transforming Quadratic Functions - Module 6.2 (Part 1)

Vertex Form of a Quadratic Function - Module 6.2 (Part 2)

Interpret Vertex Form and Standard Form - Module 6.3

Review For Test on Module 6

Central and Inscribed Angles of a Circle - Module 19.1

Angles in Inscribed Quadrilaterals - Module 19.2

Review of Modules 19.1 and 19.2

​Tangents and Circumscribed Angles - Module 19.3 (Pt. 1)

​More Tangents and Circum. Angles - Module 19.3 (Part 2)

Segment Relationships in Circles - Module 19.4 (Part 1)

More Segments in Circles - Module 19.4 (Part 2)

Angle Relationships with Circles - Module 19.5 (Part 1)

More Angles with Circles - Module 19.5 (Part 2)

Review for Test on Circles - Module 19

Solving Equations by Taking Square Roots - Module 9.1

Solve Equations by Completing the Square - Module 9.2 (Part 1)

Solve Equations by Completing the Square - Module 9.2 (Part 2)

The Quadratic Formula - Module 9.3 (Part 1)

The Discriminant and Real-World Models - Module 9.3 (Part 2)

Choosing a Method for Solving Quadratic Equations - Module 9.4

Solving Nonlinear Systems - Module 9.5

Circumference and Area of Circles - Module 20.1

Arc Length and Radian Measure - Module 20.2

Sector Area - Module 20.3

Thanks for trying harder! :-)

Multiplying Polynomial with Monomials - Module 5.1

Multiplying Polynomial Expressions - Module 5.2 (Part 1)

Multiplying Polynomial Expressions - Module 5.2 (Part 2)

Special Products of Binomials - Module 5.3 (Part 1)

Special Products of Binomials - Module 5.3 (Part 2)

Review For Unit 2 Test on Modules 4 & 5

• Integrated Math 2

Greatest Common Factor (GCF) - Module 8.1 (Part 1)

Factoring x(squared) + (or -) bx + c - Module 8.1 (Part 2)

Factoring x(squared) + (or -) bx - c - Module 8.1 (Part 3)

Factoring ax(squared) + bx + c  -  Module 8.1 (Part 4)

More Factoring ax(squared) + bx + c - Module 8.1 (Part 5)

Factor By Grouping - Module 8.1 (Part 6)

Factor Difference of Squares & Perfect Square Tri's (Part 7)

Review of Factoring - Module 8.1 (Part 1)

Review of Factoring - Module 8.1 (Part 2)

Solving Equations by Factoring ax(squared) + bx + c = 0 - Mod 8.2

Special Factors to Solve Quadratic Equations - Module 8.3

Review of Module 8

First Semester

Online Math Class

Mr. Math Blog

• Second Grade Math
• Third Grade Math
• Fourth Grade Math
• Fifth Grade Math
• Sixth Grade Math
• Sixth Grade Math (CA)
• Seventh Grade Math (CA)
• Eighth Grade Math (CA)
• Independent Study
• Integrated Math 1
• Integrated Math 3
• PreCalculus
• AP Calculus
• AP Statistics
• AP Statistics Exam Prep
• Elementary Statistics
• ELM Practice
• Percents and Decimals
• Sixth Grade Math (Big Ideas)

Volume of Prisms and Cylinders - Module 21.1 (Part 1)

Volume of Prisms and Cylinders - Module 21.1 (Part 2)

Volume of Pyramids - Module 21.2

Volume of Cones - Module 21.3

Volume of Spheres - Module 21.4

Angles Formed by Intersecting Lines - Module 14.1

Proofs Numbers 13, 15, and 17 Pages 685-686

Transversals and Parallel Lines - Module 14.2

Proving Lines are Parallel - Module 14.3

Perpendicular Lines - Module 14.4

Triangle Proportionality Theorem - Module 17.1

Lesson Performance Task - Module 17.1

Using Proportional Relationships - Module 17.3

Similarity in Right Triangles - Module 17.4

​ Module 17 Review - Using Similar Triangles

Review For Final Worksheet - Part 1

Review For Final Worksheet - Part 2

Review For Final Worksheet - Part 3

Review For Final Worksheet - Part 4

Review For Final Worksheet - Part 5

Review For Final Worksheet - Part 6

Graphing Absolute Value Functions - Module 2.1

More Graphing Absolute Value Functions - Mod 2.1 (Part 2)

Modeling with Absolute Value Functions - Module 2.1 (Part 3)

Solving Absolute Value Equations - Module 2.2 (Part 1)

Solving Absolute Value Equations - Module 2.2 (Part 2)

Solving Absolute Value Inequalities - Module 2.3 (Part 1)

Solving Absolute Value Inequalities - Module 2.3 (Part 2)

Solving Compound Inequalities - Special Cases - Module 2.3

Applications with Absolute Value Inequalities - Mod 2.3 (Part 3)

Review for Test on Module 2 (Part 1)

Review for Test on Module 2 (Part 2)

Interior and Exterior Angles of Polygons - Module 15.1

Isosceles and Equilateral Triangles - Module 15.2

Inequalities in Triangles - Module 15.3

Perpendicular Bisectors of Triangles - Module 15.4

Angle Bisectors of Triangles - Module 15.5

Review of Modules 15.4 and 15.5

Five Ways Triangles are Congruent - Module 15.5 (b)

Properties of Parallelograms - Module 15.6

Proofs with Parallelograms - Module 15.6 (Part 2)

Rectangles, Rhombuses, and Squares - Module 15.7

Unit 6 Review for Test on Modules 14 & 15 (Part 1)

Unit 6 Review for Test on Modules 14 & 15 (Part 2)

Copyright 2013. All rights reserved.

Have an account?

RTI 18.1 Volume of Prisms and Cylinders

Mathematics.

32 questions

Introducing new   Paper mode

No student devices needed.   Know more

Find the volume of this composite prism.   V = l w h .    T h e r e   a r e   2   p r i s m s   t h a t   y o u   n e e d   t o   f i n d   t h e   v o l u m e   f o r . V=lwh.\ \ There\ are\ 2\ prisms\ that\ you\ need\ to\ find\ the\ volume\ for. V = l w h .     T h e r e   a r e   2   p r i s m s   t h a t   y o u   n e e d   t o   f i n d   t h e   v o l u m e   f o r .    

A cylindrical cardboard tube with a diameter of 8 centimeters and a height of 20 centimeters is used to package a gift .

What is the approximate volume of the tube? Round to the nearest whole cubic centimeter.

Find the volume of the figure. Round to the nearest tenth.

Find the volume of the figure . Round to the nearest tenth .

128.6 units³

1,286.1 units³

401.9 units³

5,144.6 units³

Find the volume of the solid shown in the figure . Round to the nearest whole number .

Calculate the volume of the triangular prism .

Lucia has a triangular prism that has a length of 6cm and a width of 4cm and the height is 8cm . What is the volume of the figure ?

What is the volume of the cylinder ? Express the approximate answer rounded to the nearest tenth .

4976.3 km 3

4976.3π km 3

4976.3 km 2

Find the volume of the cylinder . Round your answers to the nearest tenth . Use 3.14 for π .

Find the volume of the prism .

What is the volume of the rectangular prism ?

  V d u c t   t a p e = V o u t e r − V i n n e r V_{duct\ tape}=V_{outer}-V_{inner} V d u c t   t a p e ​ = V o u t e r ​ − V i n n e r ​    Find the volume of the roll of duct tape.

A cylindrical metal pipe has a diameter of 20 millimeters and a height of 21 millimeters . A cylindrical hole cut out of the center has a radius of 6 millimeters .

Which expressions represent the volume of metal needed, in cubic millimeters , to make the pipe? Select two options .

21 π (10) 2 – 21 π (6) 2

π (20) 2 (21) – π (6) 2

2,100 π – 756 π

What is the volume of the composite figure ?

1,200 units 3

4,400 units 3

5,040 units3

6,000 units 3

Which represents the volume of the cylinder , in cubic units ? Round answer to the nearest whole number . Hint: V= πr 2 h

377 units 3

408 units 3

942 units 3

1021 units 3

Find the volume of this shape .

1520.53 cm 3

276.46 cm 3

552.93 cm 3

6082.12 cm 3

What is the volume of this prism ?

20 cubic feet

8 cubic feet

40 cubic feet

Find the volume of the cylinder . Round your answer to the nearest tenth . Use 3.14 for π .

Both shapes have the same volume . Find the length of y .

Find the volume of the cylinder .

Find the height of cylinder if r = 3 m and

the volume = 282.74 m 3 .

The volume of the triangular block is 4 cubic inches .

What is the approximate length of y ? Round to the nearest tenth of an inch .

The volume of the triangular prism is 54 cubic units .

What is the value of x ?

A right circular cylinder, A , and an oblique circular cylinder, B , are shown. Find the volume of cylinder B in cubic inches .

The right circular cylinder and the right rectangular prism have the same heights and the same base areas . A plane, parallel to the bases slices the two solids .

If the rectangular cross-section has a base length of 16 inches and a width of 4π inches , what is the radius of the cylinder's cross-section ?

"Happy" brand peanut butter is sold in cylindrical jars of varying sizes . As is usually the case, buying the larger jar has a reduced unit price . The larger jar has a unit price of 5.5 cents per cubic inch of peanut butter . The smaller jar has a unit price of 6.3 cents per cubic inch of peanut butter .

Find the cost of each jar of peanut butter , to the nearest penny .

large jar $7.50; small jar $1.99

large jar $7.56; small jar $2.00

large jar $7.58; small jar $2.05

large jar $755.95; small jar $200.39

A solid metal prism has a rectangular base with sides of 4 inches and 6 inches , and a height of 4 inches . A hole in the shape of a cylinder , with a radius of 1 inch , is drilled through the entire length of the rectangular prism .

What is the approximate volume of the remaining solid , in cubic inches ?

A right triangular prism is shown .

What is the volume of the prism ?

900 cubic units

1,020 cubic units

1,800 cubic units

2,312 cubic units

In the accompanying diagram, a rectangular container with the dimensions 10 inches by 15 inches by 20 inches is to be filled with water , using a cylindrical cup whose radius is 2 inches and whose height is 5 inches . What is the maximum number of full cups of water that can be placed into the container without the water overflowing the container ?

IMPORTANT: REMEMBER TO ROUND DOWN

Explore all questions with a free account

Continue with email

Continue with phone

Geometry › Prism volume