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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)

User Trizz
by
7.6k points

1 Answer

3 votes

Answer:

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.

User Johan Lammens
by
8.4k points

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