Question

A cube has an edge length of 9 centimeters. If the side length is increased by a factor of 3, how much larger is the perimeter of a face of the new cube?

Answer 1

108 cm after - 36 cm before = 3 times as big.

Answer 2

The perimeter of a face of the new cube is:

108 cm

Explanation:

Original edge length of cube=9 cm

Increased edge length of the cube=9×3 cm

=27 cm

The perimeter of a face of a cube=4s

where s is the edge length of the cube

Perimeter of a face of new cube=4×27 cm

= 108 cm

Hence, the perimeter of a face of the new cube is:

108 cm