Unit 1, Lesson 10

Volume (Optional)

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Integrated Math 3

Practice

Problem 1

For each cylinder, find the area of the base.

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Problem 2

Each solid has the same height. Order the volumes of the solids from least to greatest.

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Problem 3

A cone, a sphere, and a cylinder all have a radius of 4 units and a height of 8 units. Find the volume of each solid.

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Problem 4

A greenhouse is built in the shape of a pentagonal prism.

The tallest greenhouse wall is 8 feet, and the shortest greenhouse wall is 4 feet. The tallest portion of the ceiling extends for 2 feet before sloping to meet the shortest portion. The greenhouse is 6 feet wide and 10 feet long.

What is the volume inside the greenhouse in cubic feet?

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Problem 5

ForLesson 1: Solids

What are the two-dimensional shapes that make up the faces of a triangular pyramid? How many are there?

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Problem 6

ForLesson 3: Slicing Solids

What is the shape of the cross-section formed by intersecting a cube with a plane that passes through exactly 3 faces? Explain how you know.

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Volume (Optional)

Practice

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Lesson 10 Resources