Volume Applications Worksheets Grade 8

Geometry

Real-World Problems

Each printable worksheet below is a full page of practice problems and comes with an answer key that explains how to solve every problem, step by step. Open a worksheet and use the Print / Save as PDF button to download it.

Worksheet 1

7 problems
  1. Noah is designing a birdhouse that has a cylindrical body with a conical roof. The cylindrical body has a radius of 6 inches and a height of 11 inches. The conical roof sits on top of the cylinder and has the same radius as the cylinder, with a height of 6 inches. What is the total volume of the birdhouse? Use π = 3.14 and round your answer to the nearest whole cubic inch.
  2. Aroha is making a decorative candle in the shape of a cone topped with a hemisphere. The cone has a height of 15 cm and a radius of 7 cm. The hemisphere sits on top of the cone and has the same radius. What is the total volume of the candle? Use π = 3.14.
  3. A spherical water tower has a diameter of 18 meters. What is its volume in cubic meters? (Use π ≈ 3.14)

…and 4 more problems

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Worksheet 2

3 problems
  1. A rectangular prism-shaped shipping container has dimensions 2.5 m by 3.2 m by 4.8 m. Inside this container, a smaller box in the shape of a cube is placed. The cube has a side length of 0.8 m. What is the volume of the remaining space in the shipping container after the cube is placed inside?
  2. A rectangular prism-shaped shipping container has dimensions 2.5 m by 3.2 m by 4.8 m. Inside this container, there is a smaller cube-shaped box with side length 0.8 m. What is the volume of the empty space remaining in the shipping container after placing the cube inside?
  3. A cylindrical grain silo has a diameter of 10 meters and a height of 12 meters. What is its volume in cubic meters? (Use π ≈ 3.14)
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Worksheet 3

5 problems
  1. Liam is designing a decorative concrete sphere for a public park. The sphere must have a volume of exactly 14,130 cubic centimeters. What should be the radius of the sphere in centimeters? (Use π ≈ 3.14)
  2. A cylindrical grain silo has a diameter of 14 meters and a height of 20 meters. What is its volume in cubic meters? (Use π ≈ 3.14)
  3. Emma is designing a rectangular prism-shaped shipping container that needs to hold exactly 24 cubic meters. The container must be twice as long as it is wide, and the height must be 1.5 meters less than the width. What are the dimensions of the container in meters?

…and 2 more problems

Open & Print Worksheet 3

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