Rectangular Prism Volume

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Answer Key & Explanations

Rectangular Prism Volume · Grade 5 · Worksheet 2

1. Liam is building a rectangular planter box for his garden. The box measures 1.5 meters in length, 0.8 meters in width, and has a height of 0.6 meters. What is the volume of soil, in cubic meters, that Liam needs to fill the planter box completely? Answer: 0.72 Solution: To find the volume of a rectangular box, we use the formula: Volume = length × width × height Write down the given measurements.
   Full step-by-step solution

   To find the volume of a rectangular box, we use the formula: Volume = length × width × height Step 1: Write down the given measurements. Length = 1.5 meters Width = 0.8 meters Height = 0.6 meters Step 2: Substitute the values into the formula. Volume = 1.5 × 0.8 × 0.6 Step 3: First, multiply length and width. 1.5 × 0.8 = 1.2 Step 4: Now multiply the result by the height. 1.2 × 0.6 = 0.72 Step 5: State the final answer with units. The volume of soil needed is 0.72 cubic meters.

2. 6 × 4 × 5 = ? Answer: 120 Solution: Multiply the first two numbers: 6 × 4 = 24 Multiply the result by the third number: 24 × 5 = 120 The answer is 120.
   Full step-by-step solution

   Step 1: Multiply the first two numbers: 6 × 4 = 24 Step 2: Multiply the result by the third number: 24 × 5 = 120 The answer is 120.

3. Noah is helping his grandmother build a rectangular storage chest for her quilts. The chest will be 6 feet long, 4 feet wide, and 3 feet tall. What is the volume of the storage chest in cubic feet? Answer: 72 Solution: Recall the formula for the volume of a rectangular prism: Volume = length × width × height. Step 2: Plug in the given measurements: length = 6 ft, width = 4 ft, height = 3 ft.
   Full step-by-step solution

   Step 1: Recall the formula for the volume of a rectangular prism: Volume = length × width × height. Step 2: Plug in the given measurements: length = 6 ft, width = 4 ft, height = 3 ft. Step 3: Multiply the length and width first: 6 × 4 = 24. Step 4: Multiply the result by the height: 24 × 3 = 72. Step 5: The volume is 72 cubic feet. The answer is 72.

4. Mason is helping his family move and needs to pack a rectangular toy chest into the moving truck. The toy chest has a length of 9 inches, a width of 8 inches, and a height of 12 inches. What is the volume of the toy chest in cubic inches? Answer: 864 Solution: Identify the formula for the volume of a rectangular prism: Volume = length × width × height. Write down the measurements: length = 9 inches, width = 8 inches, height = 12 inches.
   Full step-by-step solution

   Step 1: Identify the formula for the volume of a rectangular prism: Volume = length × width × height. Step 2: Write down the measurements: length = 9 inches, width = 8 inches, height = 12 inches. Step 3: Multiply the length and width: 9 × 8 = 72. Step 4: Multiply that result by the height: 72 × 12 = 864. Step 5: The volume of the toy chest is 864 cubic inches.

5. Aroha is helping her uncle build a large rectangular storage box for their garage. The box needs to be 9 meters long, 5 meters wide, and 3 meters tall. What is the volume of the storage box in cubic meters? Answer: 135 Solution: Use the formula for volume of a rectangular prism: Volume = length × width × height. Step 2: Substitute the given measurements: Volume = 9 × 5 × 3. Step 3: Multiply length and width first: 9 × 5 = 45.
   Full step-by-step solution

   Step 1: Use the formula for volume of a rectangular prism: Volume = length × width × height. Step 2: Substitute the given measurements: Volume = 9 × 5 × 3. Step 3: Multiply length and width first: 9 × 5 = 45. Step 4: Multiply the result by the height: 45 × 3 = 135. Step 5: The volume is 135 cubic meters.

6. 12 × 5 × 8 = ? Answer: 480 Solution: Multiply the first two numbers. 12 × 5 = 60 Now multiply the result by the third number. 60 × 8 = 480 So, 12 × 5 × 8 = 480.
   Full step-by-step solution

   Let's solve 12 × 5 × 8 step by step. Step 1: Multiply the first two numbers. 12 × 5 = 60 Step 2: Now multiply the result by the third number. 60 × 8 = 480 So, 12 × 5 × 8 = 480.

7. Maya is designing a fish tank for her classroom. The tank needs to be 2.4 meters long, 1.5 meters wide, and hold water to a depth of 0.8 meters. What is the volume of water, in cubic meters, that the tank will hold? Answer: 2.88 Solution: Identify the formula for the volume of a rectangular prism: Volume = length × width × height. Write down the given dimensions: Length = 2.4 m, Width = 1.5 m, Height = 0.8 m.
   Full step-by-step solution

   Step 1: Identify the formula for the volume of a rectangular prism: Volume = length × width × height. Step 2: Write down the given dimensions: Length = 2.4 m, Width = 1.5 m, Height = 0.8 m. Step 3: Multiply the length and width first: 2.4 × 1.5 = 3.6. Step 4: Multiply that result by the height: 3.6 × 0.8 = 2.88. Step 5: The volume of water the tank will hold is 2.88 cubic meters.