A cube has a lateral area of 169 ft what is its volume?

Answer 1

A cube with a surface area of 169 square feet has a volume of 149.48692 ft3

Oahu, Hawaii: Description "lateral area" is subject to interpretation.

If it means all 6 sides of the cube, then we have:

6*s^2 = 169 ft^2

s = 13/sqrt(6) ft

The volume is s^3 = 149.5 ft^3 .

If "lateral area" means the 4 sides (excludes top and bottom), then we have:

4*s^2 = 169 ft^2

s = 6.5 ft

The volume is s^3 = 274.625 ft^3 .