Question

Solve for the missing measurement.

5. The area of the base of a rectangular prism is 225 units square If the volume is 1800 cubic

units, what is the height of the prism?

6. The volume of a rectangular prism is 216 cubic cm. If the height of the prism is 8 cm, what

is the area of its base? (Round to the nearest tenth)

Answer 1

1) The height of the prism is 8 units.

2) The area of its base is 27 square cm.

Explanation:

The formula of a rectangular prism is

`\text{Volume}=\text{Area of base}* \text{Height}`

1) Given : The area of the base of a rectangular prism is 225 units square If the volume is 1800 cubic units.

To find : What is the height of the prism?

Solution :

Volume = 1800 cubic units

Area of base = 225 units square

Substitute the value,

`1800=225* \text{Height}`

`\text{Height}=(1800)/(225)`

`\text{Height}=8`

The height of the prism is 8 units.

2) Given : The volume of a rectangular prism is 216 cubic cm. If the height of the prism is 8 cm.

To find : What is the area of its base?

Solution :

Volume = 216 cubic cm

Height = 8 cm

Substitute the value,

`216=\text{Area of base}* 8`

`\text{Area of base}=(216)/(8)`

`\text{Area of base}=27`

The area of its base is 27 square cm.