Volumes of Rectangular Prisms: Worksheets - Free Printable

Let's solve the problem step by step.

Problem:

We are given a building made of two rectangular parts. We need to find the volume of each part and then add them together to get the total volume of the building.

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Step 1: Understand the Shape

The building consists of two rectangular prisms (boxes):

- Part 1: The taller section on the left.
- Part 2: The shorter, wider section on the right.

We’ll calculate the volume of each using the formula:

> Volume = Length × Width × Height

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Step 2: Identify Dimensions

#### Part 1 (Left Building):
From the diagram:
- Height = 10 m
- Width = 4 m
- Length = 8 m

> So, Volume of Part 1 = 8 m × 4 m × 10 m

Let’s compute:
> 8 × 4 = 32
> 32 × 10 = 320 m³

So,
> Volume of Part 1: 8 × 4 × 10 = 320 m³

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#### Part 2 (Right Building):
From the diagram:
- Height = 4 m
- Width = 6 m
- Length = 8 m

> So, Volume of Part 2 = 8 m × 6 m × 4 m

Compute:
> 8 × 6 = 48
> 48 × 4 = 192 m³

So,
> Volume of Part 2: 8 × 6 × 4 = 192 m³

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Step 3: Add the Volumes

> Total Volume = Volume of Part 1 + Volume of Part 2
> = 320 m³ + 192 m³ = 512 m³

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✔ Final Answers:

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

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📌 Answer:

> 512 m³

This is the total volume of the building.