Question

Aubrey has a new art box in the shape of a rectangular prism. The box is 5  inches, by 8 inches, by 2  inches. The only thing in the art box is a new pink eraser with the dimensions shown below.

the erase is 0.25, 1 and 2inches

What is the volume of the art box not taken up by the eraser?

Answer 1

The answer is 1196 cm^3

Explanation:

First let's find the volume of the art box.

V = lwh

V = 20 * 12 * 5

V = 1200

​Now let's find the volume taken up by the eraser.

V = lwh

V = 4 * 2 * 0.5

V = 4

​We can subtract to find the volume of the box that is not taken up by the eraser.

1200 - 4 = 1196cm^3

​

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Answer 2

To solve this problem you must apply the proccedure shown below:
The total volume of the art box not taken up by the eraser is:
Vt=V(artbox)-V(eraser)

V(eraser)=0.25 inchesx1 inchx2 inches
V(eraser)=0.5 inches³

V(artbox)=5 inchesx8 inchesx2 inches
V(artbox)=80 inches³

Vt=80 inches³-0.5 inches³
Vt=79.5 inches³

The answer is: 79.5 inches³