Question

A rectangular prism is removed from a triangular prism with a volume of 200 cubic units. The volume of the final figure is 180 cubic units.

What could be the dimensions of the prism that was removed?
4 by 2 by 5
3 by 1 by 8
2 by 1 by 7
2 by 2 by 5

Answer 1

2 by 2 by 5

Explanation:

A rectangular prism is removed from a triangular prism with a volume of 200 cubic units. The volume of the final figure is 180 cubic units. Therefore, the dimensions of the prism that was removed could be 2 by 2 by 5.

200 - 180 = 20

2 by 2 by 5 = 20

Answer 2

2 by 2 by 5

Explanation:

The change in volume is 20 cubic units, so that must be the product of the dimensions of the cuboid removed.

a) 4×2×5 = 40 ≠ 20

b) 3×1×8 = 24 ≠ 20

c) 2×1×7 = 14 ≠ 20

d) 2×2×5 = 20 . . . . . this is the answer