Volume of a Rectangular Prism Worksheets - Free Printable

I will solve the problem by calculating the volume of each L-shaped block shown in the worksheet. The volume of a rectangular prism is calculated using the formula: Volume = Length × Width × Height.

Since these are L-shaped blocks, I can't use the simple formula directly. I need to break each L-shape into two or more rectangular prisms, calculate the volume of each part, and then add them together.

I'll go through each shape one by one, breaking it down and calculating its volume.

Shape 1a

This is an L-shape made of two rectangular prisms.
- Part 1 (vertical): 3 units wide × 2 units deep × 5 units high = 30 cubic units
- Part 2 (horizontal): 4 units long × 2 units deep × 2 units high = 16 cubic units
- Total Volume: 30 + 16 = 46 cubic units

Shape 1b

This is another L-shape.
- Part 1 (vertical): 2 units wide × 2 units deep × 4 units high = 16 cubic units
- Part 2 (horizontal): 3 units long × 2 units deep × 2 units high = 12 cubic units
- Total Volume: 16 + 12 = 28 cubic units

Shape 1c

This L-shape has different dimensions.
- Part 1 (vertical): 2 units wide × 2 units deep × 5 units high = 20 cubic units
- Part 2 (horizontal): 4 units long × 2 units deep × 2 units high = 16 cubic units
- Total Volume: 20 + 16 = 36 cubic units

Shape 2a

This L-shape is oriented differently.
- Part 1 (vertical): 2 units wide × 2 units deep × 4 units high = 16 cubic units
- Part 2 (horizontal): 3 units long × 2 units deep × 2 units high = 12 cubic units
- Total Volume: 16 + 12 = 28 cubic units

Shape 2b

This L-shape has a different configuration.
- Part 1 (vertical): 2 units wide × 2 units deep × 5 units high = 20 cubic units
- Part 2 (horizontal): 4 units long × 2 units deep × 2 units high = 16 cubic units
- Total Volume: 20 + 16 = 36 cubic units

Shape 2c

This L-shape is similar to 2b but with different dimensions.
- Part 1 (vertical): 2 units wide × 2 units deep × 4 units high = 16 cubic units
- Part 2 (horizontal): 3 units long × 2 units deep × 2 units high = 12 cubic units
- Total Volume: 16 + 12 = 28 cubic units

Shape 3a

This L-shape is more complex.
- Part 1 (vertical): 2 units wide × 2 units deep × 5 units high = 20 cubic units
- Part 2 (horizontal): 4 units long × 2 units deep × 2 units high = 16 cubic units
- Total Volume: 20 + 16 = 36 cubic units

Shape 3b

This L-shape has different dimensions.
- Part 1 (vertical): 2 units wide × 2 units deep × 4 units high = 16 cubic units
- Part 2 (horizontal): 3 units long × 2 units deep × 2 units high = 12 cubic units
- Total Volume: 16 + 12 = 28 cubic units

Shape 3c

This L-shape is similar to 3a.
- Part 1 (vertical): 2 units wide × 2 units deep × 5 units high = 20 cubic units
- Part 2 (horizontal): 4 units long × 2 units deep × 2 units high = 16 cubic units
- Total Volume: 20 + 16 = 36 cubic units

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## Final Answers:

- 1a: 46 cubic units
- 1b: 28 cubic units
- 1c: 36 cubic units
- 2a: 28 cubic units
- 2b: 36 cubic units
- 2c: 28 cubic units
- 3a: 36 cubic units
- 3b: 28 cubic units
- 3c: 36 cubic units

These are the volumes for each L-shaped block on the worksheet.