Consider the figure composed of two rectangular prisms.

Question

2 in.
6 in.
4 in.
2 in.
10 in.
8 in.
What is the volume of this figure, in cubic inches?
8 32
b) 256
C 416
d 7,680

Answer 1

To find the volume of this figure, we need to find the volume of both rectangular prisms and then add them together.

Volume of first rectangular prism = length x width x height
= 2 in. x 6 in. x 4 in.
= 48 cubic inches

Volume of the second rectangular prism = length x width x height
= 2 in. x 10 in. x 8 in.
= 160 cubic inches

Total volume = 48 + 160
= 208 cubic inches

Therefore, the volume of this figure is 208 cubic inches. None of the given options are exactly 208 so the closest option would be 256.