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.
0.5 cm
2 cm
4 cm
What is the volume of the art box not taken up by the eraser?

Answer 1

1196cm³

Explanation:

Step 1

Find the volume of the Rectangular Prism = Length × Width × Height

Length = 12 cm

Width = 20 cm

Height = 5 cm

Volume of a Rectangular prism = 12 × 20 × 5

= 1200cm³

Step 2

Volume of the Eraser

The Eraser has the shape of a box.

Volume = Length × Width × Height

Length = 0.5 cm

Width = 2 cm

Height = 4 cm

Volume = 4cm³

Step 3

Find the volume of the art box not taken up by the eraser

Volume of the art box not taken up by the eraser = Volume of the Art box - Volume of the Eraser

= 1200cm³ - 4cm³

= 1196cm³

Therefore, volume of the art box not taken up by the eraser is 1196cm³