Worksheet 1Worksheet 2Worksheet 3

The download includes this worksheet followed by the answer key with explanations. In the print dialog choose “Save as PDF” to download.

lessonbunny.com
Name: ______________________________ Date: ______________

Volume Applications

Grade 8 · Geometry · Worksheet 2

  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?
    Answer: ______________
  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?
    Answer: ______________
  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)
    Answer: ______________
lessonbunny.com

Answer Key & Explanations

Volume Applications · Grade 8 · Worksheet 2

  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? Answer: 37.888 Solution: Calculate the volume of the rectangular prism container Volume = length × width × height = 2.5 × 3.2 × 4.8 First: 2.5 × 3.2 = 8.0 Then: 8.0 × 4.8 = 38.4 cubic meters Volume = side × side × side = 0.8 × 0.8 × 0.8 First: 0.8 × 0.8 = 0.64 Then: 0.64 × 0.8 = 0.512 cubic meters Remaining volume =…
    Full step-by-step solution

    Step 1: Calculate the volume of the rectangular prism container Volume = length × width × height = 2.5 × 3.2 × 4.8 First: 2.5 × 3.2 = 8.0 Then: 8.0 × 4.8 = 38.4 cubic meters Step 2: Calculate the volume of the cube Volume = side × side × side = 0.8 × 0.8 × 0.8 First: 0.8 × 0.8 = 0.64 Then: 0.64 × 0.8 = 0.512 cubic meters Step 3: Calculate the remaining space Remaining volume = Container volume - Cube volume = 38.4 - 0.512 = 37.888 cubic meters The answer is 37.888.

  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? Answer: 37.888 Solution: Calculate the volume of the rectangular prism shipping container Volume = length × width × height = 2.5 × 3.2 × 4.8 First: 2.5 × 3.2 = 8.0 Then: 8.0 × 4.8 = 38.4 cubic meters Volume = side × side × side = 0.8 × 0.8 × 0.8 First: 0.8 × 0.8 = 0.64 Then: 0.64 × 0.8 = 0.512 cubic meters Empty space =…
    Full step-by-step solution

    Step 1: Calculate the volume of the rectangular prism shipping container Volume = length × width × height = 2.5 × 3.2 × 4.8 First: 2.5 × 3.2 = 8.0 Then: 8.0 × 4.8 = 38.4 cubic meters Step 2: Calculate the volume of the cube-shaped box Volume = side × side × side = 0.8 × 0.8 × 0.8 First: 0.8 × 0.8 = 0.64 Then: 0.64 × 0.8 = 0.512 cubic meters Step 3: Calculate the empty space Empty space = Container volume - Cube volume = 38.4 - 0.512 = 37.888 cubic meters The answer is 37.888.

  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) Answer: 942 Solution: Find the radius of the cylinder. The diameter is 10 meters, so the radius is half of that: 10 ÷ 2 = 5 meters. Calculate the area of the circular base using the formula πr².
    Full step-by-step solution

    Step 1: Find the radius of the cylinder. The diameter is 10 meters, so the radius is half of that: 10 ÷ 2 = 5 meters. Step 2: Calculate the area of the circular base using the formula πr². With π ≈ 3.14 and r = 5: 3.14 × (5)² = 3.14 × 25 = 78.5 square meters. Step 3: Multiply the base area by the height to find the volume: 78.5 × 12 = 942 cubic meters. The volume of the grain silo is 942 cubic meters.