Which of the following best describes what the volume of a three-dimensional object measures?

The distance around the object's base

The amount of surface the object covers

The amount of 3D space inside the object

The length of the object's longest edge

In a triangular prism, what geometric shape is considered the 'Base' (Big B) for calculating volume?

One of the two identical triangles

Which of the following tasks would require you to find the volume of an object?

Putting a fence around a garden

Finding how much sand fills a sandbox

How is the height ($h$) of a prism defined in relation to its bases?

It is the longest edge of the prism.

It is the perimeter of one of the bases.

It is the area of one of the bases.

It is the perpendicular distance between the two bases.

Properties of 3D Figures: Prisms and Pyramids Practice — Grade 7 math

Lesson 3: Properties of 3D Figures: Prisms and Pyramids — Practice Questions

1. Which of the following best describes what the volume of a three-dimensional object measures?
- A. The distance around the object's base
- B. The amount of surface the object covers
- C. The amount of 3D space inside the object
- D. The length of the object's longest edge
2. If a rectangular box is measured in centimeters, what are the correct units for its volume?
- A. centimeters
- B. square centimeters
- C. cubic centimeters
- D. meters
3. In a triangular prism, what geometric shape is considered the 'Base' (Big B) for calculating volume?
- A. The rectangle it sits on
- B. One of the two identical triangles
- C. Any of its rectangular faces
- D. The height of the prism
4. Which of the following tasks would require you to find the volume of an object?
- A. Painting a wall
- B. Putting a fence around a garden
- C. Finding how much sand fills a sandbox
- D. Measuring the length of a room
5. How is the height ($h$) of a prism defined in relation to its bases?
- A. It is the longest edge of the prism.
- B. It is the perimeter of one of the bases.
- C. It is the area of one of the bases.
- D. It is the perpendicular distance between the two bases.
6. What is a key feature that distinguishes a prism from a pyramid?
- A. A prism has one base, while a pyramid has two.
- B. A prism has two parallel bases, while a pyramid has only one base.
- C. A prism's lateral faces are triangles, while a pyramid's are rectangles.
- D. A prism must have a rectangular base, while a pyramid can have any base.
7. A shipping container is a rectangular prism. If its base area is 160 square feet and its height is 9 feet, what is its volume in cubic feet? The volume is ___ cubic feet.
8. A tent is shaped like a triangular prism. It has two triangular bases and three rectangular lateral faces. Which family of polyhedra does it belong to?
- A. Pyramid
- B. Prism
- C. Cone
- D. Sphere
9. An apartment building has 6 stories, and each story is 9 feet tall. If the area of each floor is 8,000 square feet, what is the building's total volume? The volume is ___ cubic feet.
10. A historical monument has a single square base and four triangular faces that meet at a point. What is the correct classification for this shape?
- A. Rectangular Prism
- B. Triangular Prism
- C. Square Pyramid
- D. Cube