Volumes of Rectangular Prisms: Worksheets - Free Printable

Let’s solve this step by step.

The building is made of two parts: a tall part and a short part. We need to find the volume of each part separately, then add them together.

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Step 1: Volume of Part 1 (the taller building)

This part looks like a rectangular box. To find its volume, we multiply:

> Length × Width × Height

From the diagram:
- Length = 8 m
- Width = 4 m
- Height = 10 m

So:

Volume of part 1 = 8 × 4 × 10
First, 8 × 4 = 32
Then, 32 × 10 = 320

✔ Volume of part 1 = 320 m³

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Step 2: Volume of Part 2 (the shorter building)

Again, it’s a rectangular box.

From the diagram:
- Length = 8 m
- Width = 6 m
- Height = 4 m

So:

Volume of part 2 = 8 × 6 × 4
First, 8 × 6 = 48
Then, 48 × 4 = 192

✔ Volume of part 2 = 192 m³

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Step 3: Total Volume of the Building

Add both volumes:

320 + 192 = 512

✔ Total volume = 512 m³

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Final Answer:
Volume of part 1: 8 × 4 × 10 = 320 m³
Volume of part 2: 8 × 6 × 4 = 192 m³
Volume of the building: 320 + 192 = 512 m³