# Volume of rectangular prisms word problems

##### Intros

###### Lessons

##### Examples

###### Lessons

**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?

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###### Topic 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.

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