Question

In figure, the shape of a solid copper piece (made of two pieces) with dimensions is shown. The face of ABCDEFA is the uniform cross-section. Assume that the angles at A, B, C, D, E and F are right angles, calculate the volume of the piece.

Answer 1

Given:

$AB=2cm$

$IJ=5cm$

$JK=8cm$

$KL=3cm$

Volume of upper cuboid $=l\times b\times h$

$=22\times 2\times 5$

$=220c{m}^3$

Volume of lower cuboid $=FE\times EL\times DE=(8+2)\times 22\times 3=660c{m}^3$

Volume of copper piece $=(660+220)c{m}^3=880c{m}^3$