Determine whether the 3-D figures are congruent to each other. (Hint: Find the area of the cross-sectional shapes).

True. The cross-sectionals' area and the heights of the 3-D figures are the same. They don't have to be the same shape.

False. Although the cross-sectionals' area and heights of the 3-D figures are the same,the shapes are not congruent

False. The cross-sections are not the same shape.

True. All the shapes are 3-D figures and the same height.

Jenny says that the two prisms DO NOT have the same volume because the cross sections are not the same. Renee disagrees; she says that it isn't the shape that has to be the same but the area. Renee thinks they have the same volume. Who is correct?

Neither Jenny or Renee is correct.

Based on Cavalieri's Principle, will the two prisms have the same volume?

Yes, the heights of both prisms are the same and they have the same cross-sectional area. Therefore, they will have the same volume.

No, they will not be same. Although the heights are the same, the cross-sections are different shapes.

a) Cavalieri’s Principle states that any two objects with equal volume must have the same height.

False - if two objects have the same base and height, they must have the same volume.

False - if two objects have equal volume must have the same BASE, not height

False - if two objects have equal volume must have the same SLANT HEIGHT, not height

An oblique shape will always have the same volume as a right shape if they have the same base.

False - an oblique shape will always have the same volume as a right shape if they have the same base AND height

False - an oblique shape and a right shape can never have the same volume

False - an oblique shape and a right shape can't have the same base

a) A cone and a pyramid with equal base areas and heights

These WILL have the same volume

These COULD have the same volume

These WILL NOT have the same volume

How do the figures volumes' compare?

The right prism has a larger volume than the oblique prism.

The oblique prism has a larger volume than the right prism.

The right prism has a volume that is twice as large as the oblique prism.

Cavalieri's Principle: Volume Formulas Argument

Quiz

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

•

CCSS

8.G.C.9, 5.MD.C.5C, 7.G.A.3

+4

Standards-aligned

Barbara White

FREE Resource

27 questions

Show all answers

1.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Which 3D Figures make up the following composite solid.

Sphere

Cylinder

Pyramid

Rectangular Prism

Tags

CCSS.1.G.A.2

2.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Which 3D Figures make up the following composite solid.

Cone

Cylinder

Pyramid

Rectangular Prism

Tags

CCSS.1.G.A.2

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the volume of the composite space figure.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the volume of the composite figure.

Tags

CCSS.5.MD.C.5C

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the volume of the composite figure.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the volume of the composite figure.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which equation would you use to find the volume of this composite figure?

8³ + ⁴/₃π(8)³

8³ + ⁴/₃π(4)³

8³ + (¹/₂)(⁴/₃)π(4)³

Tags

CCSS.5.MD.C.5C

Create a free account and access millions of resources

Create resources

Host any resource

Get auto-graded reports

Continue with Google

Continue with Email

Continue with Classlink

Continue with Clever

or continue with

Microsoft

Apple

Others

Already have an account?

Similar Resources on Wayground

25 questions

Graphing Logarithms

Quiz

•

9th - 12th Grade

22 questions

Area of regular polygons review 2-6

Quiz

•

9th - 12th Grade

22 questions

Unit 9 Review

Quiz

•

10th Grade

24 questions

Two-Way Frequency Tables(with percent)

Quiz

•

9th - 12th Grade

24 questions

Ratios and Proportions Quiz

Quiz

•

10th Grade

23 questions

Naming Sides

Quiz

•

9th - 12th Grade

22 questions

8.1.4

Quiz

•

9th - 12th Grade

25 questions

Special Angles on Parallel Lines

Quiz

•

9th - 11th Grade

Popular Resources on Wayground

5 questions

This is not a...winter edition (Drawing game)

Quiz

•

1st - 5th Grade

15 questions

4:3 Model Multiplication of Decimals by Whole Numbers

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

10 questions

The Best Christmas Pageant Ever Chapters 1 & 2

Quiz

•

4th Grade

12 questions

Unit 4 Review Day

Quiz

•

3rd Grade

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

20 questions

Christmas Trivia

Quiz

•

6th - 8th Grade

18 questions

Kids Christmas Trivia

Quiz

•

KG - 5th Grade

Discover more resources for Mathematics

10 questions

Identify Iconic Christmas Movie Scenes

Interactive video

•

6th - 10th Grade

10 questions

Guess the Christmas Movie by the Scene Challenge

Interactive video

•

6th - 10th Grade

20 questions

Triangle Congruence Theorems

Quiz

•

9th Grade

20 questions

Solving One-Step Equations

Quiz

•

6th - 9th Grade

15 questions

Graphing Systems of Equations

Quiz

•

8th - 9th Grade

11 questions

Solve Systems of Equations and Inequalities

Quiz

•

9th - 12th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

20 questions

Graphing Inequalities on a Number Line

Quiz

•

6th - 9th Grade

Cavalieri's Principle: Volume Formulas Argument

27 questions

Which 3D Figures make up the following composite solid.

Which 3D Figures make up the following composite solid.

Find the volume of the composite space figure.

Find the volume of the composite figure.

Find the volume of the composite figure.

Find the volume of the composite figure.

Which equation would you use to find the volume of this composite figure?

Which equation would you use to find the volume of this composite figure?

What is the volume of the solid shown below?

What is the volume of this figure?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics