Rectangular Prism Volume

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Answer Key & Explanations

Rectangular Prism Volume · Grade 5 · Worksheet 2

1. 8 × 5 × 3 = ? Answer: 120 Solution: Multiply 8 and 5. 8 × 5 = 40 Multiply the result by 3. 40 × 3 = 120 The answer is 120.
   Full step-by-step solution

   Step 1: Multiply 8 and 5. 8 × 5 = 40 Step 2: Multiply the result by 3. 40 × 3 = 120 The answer is 120.

2. Maya is designing a fish tank for her classroom. The tank needs to be 2.4 meters long, 1.5 meters wide, and 0.8 meters high to hold all the fish comfortably. What is the volume of the fish tank in cubic meters? Answer: 2.88 Solution: Identify the formula for volume of a rectangular prism: Volume = length × width × height Substitute the given values: Volume = 2.4 × 1.5 × 0.8 First multiply 2.4 × 1.5 = 3.6 Then multiply 3.6 × 0.8 = 2.88 The volume is 2.88 cubic meters The answer is 2.88.
   Full step-by-step solution

   Step 1: Identify the formula for volume of a rectangular prism: Volume = length × width × height Step 2: Substitute the given values: Volume = 2.4 × 1.5 × 0.8 Step 3: First multiply 2.4 × 1.5 = 3.6 Step 4: Then multiply 3.6 × 0.8 = 2.88 Step 5: The volume is 2.88 cubic meters The answer is 2.88.

3. Maria 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 fish tank will hold when filled to this level? Answer: 2.88 Solution: Identify the formula for the volume of a rectangular prism: Volume = length × width × height. Write down the measurements from the problem: length = 2.4 m, width = 1.5 m, height (depth of water) = 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 measurements from the problem: length = 2.4 m, width = 1.5 m, height (depth of water) = 0.8 m. Step 3: Multiply the length and width first: 2.4 × 1.5 = 3.6. Step 4: Multiply the result by the height: 3.6 × 0.8 = 2.88. Step 5: The volume is 2.88 cubic meters.

4. Mason has a rectangular prism with a volume of 1452 cubic units. The length is 12 units and the width is 11 units. What is the height? Answer: 11 Solution: Write the formula for volume: V = l × w × h Substitute the known values: 1452 = 12 × 11 × h Multiply the length and width: 12 × 11 = 132 Now the equation is: 1452 = 132 × h To find h, divide both sides by 132: h = 1452 ÷ 132 1452 ÷ 132 = 11 The height is 11 units.
   Full step-by-step solution

   Step 1: Write the formula for volume: V = l × w × h Step 2: Substitute the known values: 1452 = 12 × 11 × h Step 3: Multiply the length and width: 12 × 11 = 132 Step 4: Now the equation is: 1452 = 132 × h Step 5: To find h, divide both sides by 132: h = 1452 ÷ 132 Step 6: 1452 ÷ 132 = 11 The height is 11 units.

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

   To find the volume of soil needed, we use the formula for the volume of a rectangular box: Volume = length × width × height Step 1: Write down the given dimensions. Length = 1.5 meters Width = 0.8 meters Height = 0.6 meters Step 2: Substitute the values into the volume formula. Volume = 1.5 × 0.8 × 0.6 Step 3: First, multiply the 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 the correct units. The volume of soil needed is 0.72 cubic meters.

6. Noah is helping his aunt build a rectangular storage box for her garage. The box needs to be 6 inches long, 11 inches wide, and 16 inches tall. What is the volume of the storage box in cubic inches? Answer: 1056 Solution: Use the formula for volume of a rectangular prism: V = l × w × h. Step 2: Substitute the given measurements: V = 6 × 11 × 16. Step 3: Multiply length and width first: 6 × 11 = 66.
   Full step-by-step solution

   Step 1: Use the formula for volume of a rectangular prism: V = l × w × h. Step 2: Substitute the given measurements: V = 6 × 11 × 16. Step 3: Multiply length and width first: 6 × 11 = 66. Step 4: Multiply the result by the height: 66 × 16 = 1056. Step 5: The volume is 1056 cubic inches.

7. 18 × 12 × 9 = ? Answer: 1944 Solution: Multiply the first two numbers: 18 × 12 = 216 Multiply the result by the third number: 216 × 9 = 1944 The answer is 1944.
   Full step-by-step solution

   Step 1: Multiply the first two numbers: 18 × 12 = 216 Step 2: Multiply the result by the third number: 216 × 9 = 1944 The answer is 1944.