Question

What is the volume of the composite figure?

Answer 1

Look at the picture.

We have 3 cuboids. The formula of a volume of a cuboid is:

V = Length × Width ×  Height = lwh

The cuboid 1 are congruent to the cuboid 2.

1&2

l = 9 in, w = 10 in, h = 10 in

V = (9)(10)(10) = 900 in³

3

l = 6 in, w = 10 in, h = 10 in

V = (6)(10)(10) = 600 in³

The volume of the composite prism:

V = 2(900) + 600 = 1800 + 600 = 2400 in³