Question

A big cube with a side length of 30cm is cut into 27 small cubes of same size.

1. Find the length of the side of each small cube

2. Find the area of the top surface of each small cube​

Answer 1

2. find the area of the top surface of each small cube

Answer 2

Length of the side of each small cube = 10cm

Area of the top surface of each small cube​ = 100cm²

Explanation:

Big cube volume = s³

Big cube volume = 30³

Big cube volume = 27000cm³

Small cube volume = 27000 / 27

Small cube volume = 1000cm³

Small cube length = ∛1000

Small cube length = 10cm

Area of the top surface of each small cube = s x s

Area of the top surface of each small cube = 10 x 10

Area of the top surface of each small cube = 100cm²