Volume of rectangular prisms word problems - Surface Area and Volume

Volume of rectangular prisms word problems

Lessons

Notes:

In this lesson, we will learn:

Analyze the Change in Volume of a Prism

Evaluate the Cross Sections of Prisms

Cross Section of a Pyramid

Prisms: solid objects with two identical and parallel ends connected by flat sides.

Volume of a prism: $base \, area \times height$

Cross section: a section made by cutting an object along a plane.

All cross sections of a prism are the same.

Intro Lesson

Introduction to Rectangular Prisms Word Problems
3.
Evaluate the Cross Section of a Prism
Which one of the following prisms will produce the given shape if we were to slice it horizontally?

Volume of rectangular prisms word problems

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Intro Lesson: a

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Intro Lesson: b

Lesson: 1

Lesson: 2

Lesson: 3a

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Lesson: 3c

Lesson: 3d

Lesson: 4

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Don't just watch, practice makes perfect

Do better in math today

Don't just watch, practice makes perfect

Lessons

Notes:

Intro Lesson

Introduction to Rectangular Prisms Word Problems

a)

Volume of a prism

b)

Cross section

1.

Analyze the Change in Volume of a Prism Vincent bought a new rectangular fish tank with a base measurement of 52cm by 37cm and filled it with water to a height of 18cm. After that he poured in some gravel and the water level rose by 13cm. What is the volume of the gravel?

2.

A rectangular swimming pool with a base measurement of 10m by 6m was filled up with water to the 5m mark. If a truck with a volume of 15m3m^{3}m3 accidentally fell into the pool, what will the new water level be?

3.

Evaluate the Cross Section of a Prism Which one of the following prisms will produce the given shape if we were to slice it horizontally?

a)

b)

c)

d)

4.

Cross Section of a Pyramid Given the following prism, what will the cross section look like if we were to slice the prism vertically along the plane as indicated?

Volume of rectangular prisms word problems

Don't just watch, practice makes perfect.

We have over 160 practice questions in Geometry for you to master.

or

Analyze the Change in Volume of a Prism
Vincent bought a new rectangular fish tank with a base measurement of 52cm by 37cm and filled it with water to a height of 18cm. After that he poured in some gravel and the water level rose by 13cm. What is the volume of the gravel?

A rectangular swimming pool with a base measurement of 10m by 6m was filled up with water to the 5m mark. If a truck with a volume of 15 $m^{3}$ accidentally fell into the pool, what will the new water level be?

Evaluate the Cross Section of a Prism
Which one of the following prisms will produce the given shape if we were to slice it horizontally?

Cross Section of a Pyramid
Given the following prism, what will the cross section look like if we were to slice the prism vertically along the plane as indicated?