Question

Two cubes, A and B, are mathematically similar. The height of B is twice the corresponding height of A. The surface area of B is 48 cm^2. Find the surface area of A.

Answer 1

Two cubes, A and B
Cube A------>LA surface area of A SA=LA*LA

Cube B---------> LB=2LA surface area of B SB=LB*LB=48

SB=LB^2=48-------------->(2LA)^2=48 cm^2
4LA^2=48-->LA=12^(1/2)
surface area of A SA=LA*LA=12 cm^2

the answer is the surface area of A is 12 cm^2