Indicate the measurement of some rectangular parallelepiped with a volume of 27cm3, the surface area of which a) 78cm2 b) 110cm2

a) Let the sides be respectively equal to a = 1, b = 3, c = 9 cm, then the volume of the parallelepiped will be:

V = a * b * c = 1 * 3 * 9 = 27 cm².

We now calculate the surface area:

S = 2 * (a * b + a * c + b * c) = 2 * (3 + 9 + 27) = 78 cm².

We got the required parallelepiped.

b) Let the sides now be equal to a = 1, b = 1, c = 27, then the volume is equal to:

V = 1 * 1 * 27 = 27 cm².

The surface area will be:

S = 2 * (1 + 27 + 27) = 2 * 55 = 110 cm².

Found the required parallelepiped.