8th Grade Math Test Prep – Volume

8th Grade Math Test Prep – Volume

8th grade math · test prep · state test style

1. Multiple choice. Circle the correct answer.

1. A rectangular prism is 3 cm by 4 cm by 5 cm. Its volume is

a) 60 cm³b) 47 cm³c) 12 cm³d) 94 cm³

2. A sphere has a radius of 3 in. Its volume is

a) 12π in³b) 36π in³c) 108π in³d) 27π in³

3. A hexagonal prism has

a) 18 edgesb) 24 edgesc) 6 edgesd) 12 edges

4. A cone has the same base and height as a cylinder. Its volume is

a) the same as the cylinder’sb) half of the cylinder’sc) three times the cylinder’sd) one third of the cylinder’s

5. The surface area of a cube with 4 in edges is

a) 96 in²b) 48 in²c) 64 in²d) 16 in²

6. An aquarium is 20 in long, 10 in wide and 12 in tall. How much water does it hold when full?

a) 1,200 in³b) 2,400 in³c) 240 in³d) 42 in³

2. Circle T if the sentence is true or F if it is false.

If the edge of a cube doubles, its volume doubles too.TF

Every cube is a rectangular prism.TF

A sphere with a radius of 1 has a volume of (4/3)π.TF

Doubling the height of a cylinder doubles its volume.TF

A cylinder has two circular bases.TF

3. Open response. Show your work and write the answer.

A pool is 50 ft long, 20 ft wide and 6 ft deep. It is filled to 90% of its depth. How many cubic feet of water are in it? One cubic foot is about 7.5 gallons: about how many gallons is that?

Answer:

A can is a cylinder with a radius of 4 cm and a height of 12 cm. Find its volume. Use π ≈ 3.14 and round to the nearest cubic centimeter.

Answer:

An ice cream cone has a radius of 1.5 in and a height of 5 in. On top is a half sphere of ice cream with the same radius. Find the total volume in terms of π.

Answer:

About this worksheet

A volume test for 8th grade math test prep: volume of rectangular prisms, prisms and pyramids, the volume formulas for cylinders, cones and spheres (answers in terms of π or with π ≈ 3.14), surface area of a cube, edges and faces of solids, and what happens to the volume when a dimension changes. The questions take the forms of end-of-year state math tests: multiple choice, true or false, and open-response problems with room to show the work. Every print draws other multiple-choice and true-or-false questions in another order, and the answer key marks the right answers.

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