Question

A right square prism has a volume of 360 cubic units.

Which could be the dimensions, in units, of the prism? Select three options.

3 by 3 by 40
4 by 4 by 20
5 by 5 by 14
2.5 by 12 by 12
3.6 by 10 by 10

Answer 1

You need s^2 · h = 360, where s is the square side (two equal dimensions).

- 3 by 3 by 40: 3^2 · 40 = 9 · 40 = 360 ✓
- 4 by 4 by 20: 4^2 · 20 = 16 · 20 = 320 ✗
- 5 by 5 by 14: 5^2 · 14 = 25 · 14 = 350 ✗
- 2.5 by 12 by 12: 12^2 · 2.5 = 144 · 2.5 = 360 ✓
- 3.6 by 10 by 10: 10^2 · 3.6 = 100 · 3.6 = 360 ✓

So the three possible sets are: 3×3×40, 2.5×12×12, and 3.6×10×10.