Mathematics: Aubrey has a new art box in the shape of a rectangular prism. The box is 12 ext{ cm}12 cm12, start text, space, c, m, end text by 20 ext{ cm}20 cm20, start text, space, c, m, end text by 5 ext{ cm}5 cm5, start text, space, c, m, end text. The only thing in the art box is a new pink eraser with the dimensions shown below. What is the volume of the art box not taken up by the eraser?

Aubrey has a new art box in the shape of a rectangular

Ответ:

carolinamleal04

17.03.2022

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.

0.25 inches by 1 inches by 2 in ches

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

Volume = 79.5in^3

Step-by-step explanation:

Given

$Box = \{5in, 8in, 2in\}$

$Eraser = \{0.25in, 1in, 2in\}$

Volume is calculated as:

Volume = Length * Width * Height

First, we calculate the volume of the box:

$V_{box} = 5in * 8in * 2in$

$V_{box} = 80in^3$

Next, we calculate the volume of the eraser.

$V_{eraser} = 0.25in * 1in * 2in$

$V_{eraser} = 0.5in^3$

The volume not taken up is calculated as thus:

$Volume = V_{box} - V_{eraser}$

Volume = 80in^3 - 0.5in^3

Volume = 79.5in^3

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