Question

Gerardo says that a cube with edges that measure 10 centimeters has a volume that is twice as much as a cube with sides that measure 5 centimeters. Complete the explanation and correction for Gerardo's error. A cube with sides of 5 cm holds 5 layers of 25 cm cubes, which is cu cm. A cube with sides of 10 cm could hold 10 layers of 100 cm cubes, which is cu cm. Although 10 is twice as much as 5, a cube has ? , so each dimension is ? as great.

Answer 1

A cube with sides of 5 cm holds 5 layers of 25 cm cubes.

A cube with sides of 10 cm could hold 10 layers of 100 cm cubes.

Explanation:

For Cube a

Edge length = 10cm

Hence,

Volume = (side length)³

Volume = (10cm)³

= 1000cm³

For cube b

Side/Edge length = 5cm

Volume of cube = (5 cm)³

= 125 cm³

Gerardo statement is wrong.

Therefore, the correct explanation is given as:

A cube with sides of 5 cm holds 5 layers of 25 cm cubes.

A cube with sides of 10 cm could hold 10 layers of 100 cm cubes.