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4 years ago

If a rectangular prism with a length of 12 feet and a width of 9 feet has a surface area of 930 square feet find its height

Mathematics

2 answers:

WINSTONCH [101]4 years ago

4 0

Answer:

The height is 17 ft

Step-by-step explanation:

The surface area of a rectangular prism is

SA = 2(LW +WH + LH)

where L = length, W = width, and H = height

We know SA = 930, L = 12, and W = 9

930 = 2(12*9 +9H + 12H)

Divide each side by 2

930/2 = 2/2(12*9 +9H + 12H)

465 = (12*9 +9H + 12H)

Combine like terms

465 = 84+21H

Subtract 84 from each side

465-84 = 84-84+21H

357 = 21H

Divide by 21

357/21=21H/21

17 = H

The height is 17 ft

inysia [295]4 years ago

3 0

Answer:

Height is 17 ft.

Step-by-step explanation:

Given: Rectangular Prism is also called cuboid

Length, L = 12 ft. and width, W = 9 ft.

Surface Area of cuboid, SA = 930 ft.²

To find: height , H

The surface area of a rectangular prism or cuboid

SA = 2(LW +WH + LH)

930 = 2(12×9 +9H + 12H)

$\frac{930}{2}=108 +9H + 12H$

465 = 108 + 9H + 12H

108 + 9H + 12H = 465

21H + 108 = 465

21H = 465 - 108

21H = 357

$H=\farc{357}{21}$

H = 17

therefore, Height is 17 ft.

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3 years ago

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OlgaM077 [116]

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