Question

aubrey has a new art box in the shape of a rectangular prism. the box is 12 cm by 20 cm by 5 cm. 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? $\boldsymbol{square}$ $\text{cm}^3$

Explanation:

Step1: Calculate box volume

Volume of rectangular prism: $V_{box} = l \times w \times h = 12 \times 20 \times 5$

Step2: Calculate eraser volume

Volume of eraser: $V_{eraser} = 4 \times 2 \times 0.5$

Step3: Find unused volume

Subtract eraser vol from box vol: $V_{unused} = V_{box} - V_{eraser}$

Answer:

$1196$ $\text{cm}^3$