Volume of a Rectangular Prism Worksheets - Free Printable

I'll solve the volume problems for the rectangular prisms shown in the image. Let me work through each one systematically.

First, I need to recall the formula for the volume of a rectangular prism: Volume = length × width × height.

Let me start with Part A, which shows three rectangular prisms with their dimensions labeled.

Part A:

1. First prism: The dimensions are 5 in (length), 3 in (width), and 4 in (height).
Volume = 5 × 3 × 4 = 60 in³

2. Second prism: The dimensions are 8 in (length), 6 in (width), and 3 in (height).
Volume = 8 × 6 × 3 = 144 in³

3. Third prism: The dimensions are 12 in (length), 5 in (width), and 7 in (height).
Volume = 12 × 5 × 7 = 420 in³

Part B:

4. Given: length = 6 yd, width = 11 yd, height = 8 yd
Volume = 6 × 11 × 8 = 528 yd³

5. Given: length = 1 yd, width = 11 in, height = 17 in
I need to convert all units to the same measurement. Since 1 yard = 36 inches:
Length = 36 in, width = 11 in, height = 17 in
Volume = 36 × 11 × 17 = 6,732 in³

6. Given: width = 2 in, height = 4 in, length = 2 ft
Converting length to inches: 2 ft = 24 in
Volume = 24 × 2 × 4 = 192 in³

7. Given: length = 2 yd, width = 2 ft, height = 10 in
Converting everything to inches:
Length = 2 yd = 72 in, width = 2 ft = 24 in, height = 10 in
Volume = 72 × 24 × 10 = 17,280 in³

8. Given: length = 10 feet, width = 2 feet, height = 27 inches
Converting height to feet: 27 inches = 27/12 = 2.25 feet
Volume = 10 × 2 × 2.25 = 45 ft³

Let me double-check my calculations to ensure accuracy.

The solutions are:
- A1: 60 in³
- A2: 144 in³
- A3: 420 in³
- B4: 528 yd³
- B5: 6,732 in³
- B6: 192 in³
- B7: 17,280 in³
- B8: 45 ft³