Question

PLZ HELP ON A TIME LIMIT

A building block is made by taking a 6 cm by 4 cm by 2 cm block and removing four cubes from the center of the block. The volume of the final block is 44 cm3.

A rectangular prism with a length of 6 centimeters, width of 4 centimeters, and height of 2 centimeters. 4 blocks are removed from the block with dimensions 6 by 4 by 2 centimeters.

What is the length of one side of one cube that was removed?
1 cm
1.5 cm
2 cm
2.5 cm

Answer 1

A

Explanation:

1cm

Answer 2

(A)1 cm

Explanation:

Volume of the Prism before the cubes were removed
`=6 X 4 X 2 = 48$ cm^3`

Volume of the Prism after the 4 cubes were removed
`=44$ cm^3`

Therefore, Volume of the 4 cubes

`=48cm^3-44cm^3\\=4cm^3`

If Volume of the 4 cubes = 4 cubic centimeter

• Volume of 1 cube =4/4 =1 cubic centimeter

Volume of a cube of side length s
`=s^3`

Therefore:

`s^3=1 cm^3\\$Side Length, s=1 cm`

The side length of 1 cube that was removed is 1 cm.

The correct option is A.