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A theater wants to build movable steps that they can use to go on and off the stage. They want the steps to
have enough space inside so they can also be used to store props.
0.2 m
0.3 m
0.15 m
0.5 m
0.4 m
How much space is inside the steps?

A theater wants to build movable steps that they can use to go on and off the stage They want the steps to have enough space inside so they can also be used to class=

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shubhamchouhanvrVT

The space inside the steps will be 0.04 cubic meter

What is volume?

The space in a three dimensional region occupied by any body is called as volume.

Assume the steps have the dimensions shown in the diagram below.

We can decompose them into two rectangular prisms.

The lower prism has the dimensions 20 in × 16 in × 6 in.

The upper prism has the dimensions 20 in ×   8 in × 6 in.

1. Volume of lower prism

V = lwh = 20 in × 16 in × 6 in = 1920 in³

2. Volume of upper prism

V = lwh = 20 in × 8 in × 6 in = 960 in³

3. Volume of steps

V = 1920 in³ + 960 in³ = 2880 in³

Or the volume in meter will be 2880 cubic inches = 0.04 cubic meters.

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