asked 1.9k views
1 vote
a rectangulr prism hs a volume of 360 m^(3). the height of the prism is 18 m. what is the area of the prism

2 Answers

6 votes

Final answer:

The area of the prism is 20 square meters.

Step-by-step explanation:

The volume of the rectangular prism is given as 360 m³ and the height is given as 18 m. The formula to find the volume of a rectangular prism is V = lwh, where l is the length, w is the width, and h is the height. Since we are given the height, we need to find the values of l and w.

To find the area of the prism, we can rearrange the volume formula to solve for the area. Dividing both sides of the formula by the height, we have A = V/h. Substituting the given values, we get A = 360 m³/18 m = 20 m².

Therefore, the area of the prism is 20 square meters.

answered
User Bjtilley
by
8.1k points
4 votes

The area of the rectangular prism given the volume and height is 20 m.

What is the area of the prism?

Volume of the rectangular prism = 360 m³

Height of the prism = 18 m

Volume of a rectangular prism = Base area × height

360 = Area × 18

Make Area the subject

Area = 360/18

Area = 20

Therefore, the area of the rectangular prism is 20 m

answered
User Shirish Bari
by
9.0k points
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