Question

The cube and the rectangular prism below have the same volume. Find the height of the rectangular prism to the nearest tenth.

Answer 1

h = 6.1 cm

Explanation:

Volume of cube and rectangular prism:

Cube:

edge = a = 8 cm

`\sf \boxed{\text{Volume of cube = a^3}}`
`\sf \boxed{\text{Volume of cube = $a^3$}}`

Rectangular prism:

l = 14 cm ; w = 6 cm

`\sf \boxed{\text{Volume of rectangular prism=lwh}}`

Volume of rectangular prism = volume of cube

14 * 6 * h = 8 * 8 *8

`\sf h =(8 * 8 * 8)/(14 * 6)\\\\ h = (128)/(21)`

h = 6.1 cm