Question

The larger prism has had two identical holes carved out of it, each of which is a rectangular prism. Find the volume of the remaining solid, writing your answer correct to 2 decimal places. Note that all measurements are in meters.

Answer 1

1,510.60 m³

Explanation:

Volume of the remaining solid = volume of the larger rectangular prism - volume of the 2 rectangular prism holes carved out

The larger rectangular prism given has equal length, width and height which is 13 meters.

Volume of the larger rectangular prism = 13*13*13 = 2,197 m³

Each rectangular prism hole has:

Length = 13 m

Width = 6.6 m

Height = 4 m

Volume of the 2 holes carved out = 2(13*6.6*4) = 2(343.2) = 686.4 m³

Volume of the remaining solid = 2,197 - 686.4 = 1,510.60 m³