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What is the surface area of the figure? PLEASE HELP ASAP !! 7th grade Geometry

What is the surface area of the figure? PLEASE HELP ASAP !! 7th grade Geometry-example-1

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The given answer: SA=578ft^2
User Sergio Muriel
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7 votes

Answer:

SA = 578ft²

Explanation:

First, we have to know the formula of finding the surface area of a rectangular prism.

Formula: 2(wl + hl + hw)

w = width l = length h = height

Next, we separate the composite figure into two rectangular prisms.

Since we have all measurements, let's use that to find the SA.

The first shape (to the left)

SA = 2(wl + hl + hw)

SA = 2(4 x 9 + 9 x 9 + 9 x 4)

SA = 2(36 + 81 + 36)

SA = 2(153)

SA = 306

Then, we do the other shape(to the right)

We know the measurement of length = 4 because it is the same measurement as the width

SA = 2(wl + hl + hw)

SA = 2(4 x 4 + 15 x 4 + 15 x 4)

SA = 2(16 + 60 + 60)

SA = 2(136)

SA = 272

Lastly, we add those two

306 + 272 = 578

Therefore, SA = 578ft²

sorry if Im wrong

User Oliver Curting
by
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