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DedPeter [7]
3 years ago
15

Find the height of a rectangular prism if the surface area is 3,834 square meters and the length of the base is 14.2 meters and

the width of the base is 15 meters
Mathematics
1 answer:
astra-53 [7]3 years ago
5 0

Answer:

The height of the rectangular prism is 58.36\ m

Step-by-step explanation:

we know that

The surface area of the rectangular prism is equal to

SA=2B+PH

where

B is the area of the rectangular base

P is the perimeter of the rectangular base

H is the height of the prism

<em>Find the area of the base B</em>

B=14.2*15=213\ m^{2}

<em>Find the perimeter of the base P</em>

P=2(14.2+15)=58.4\ m

we have

SA=3,834\ m^{2}

substitute and solve for H

SA=2B+PH

3,834=2(213)+(58.4)H

3,834=426+(58.4)H

H=(3,834-426)/(58.4)

H=58.36\ m

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