Question

· The volume of a box in the shape of a cube

is 2197 cm3. Find the area of one side of the box.​

Answer 1

Let the side of the cube be x.

Volume = length × width × height

For a cube:

Length = width = height

Now volume = x × x × x = x³

This equals 2197

Therefore :

X³ = 2197

X = ∛2197

= 13

The side of the cube = 13cm

Area = length × width

Length = width = 13cm

Area = 13 × 13 = 169

= 169 cm²

I hope this helps!