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What is the surface area of this design?
5 in.
256 in2
160 in2
8 in.
96 in2
4 in.
288 in2
4 in.
8 in.


What Is The Surface Area Of This Design 5 In 256 In2 160 In2 8 In 96 In2 4 In 288 In2 4 In 8 In class=

Sagot :

Answer:

Pretty sure its 256 in2

Step-by-step explanation:

did the iready test

By decomposing the design into two rectangular prisms, the surface area of the design is calculated as: A. 256 in.²

What is the Surface Area of a Rectangular Prism?

The surface area of a rectangular prism is expressed as, S = 2(lw + lh + wh).

The design can be decomposed into top rectangular prism and bottom rectangular prism.

The surface area of the design = surface area of the top rectangular prism + surface area of the bottom rectangular prism - 2(area of the top rectangular prism that joins the bottom rectangular prism)

Surface area of the top rectangular prism = 2(lw + lh + wh) = 2(5×4 + 5×4 + 4×4) = 112 in.²

Surface area of the bottom rectangular prism = 2(lw + lh + wh) = 2(8×5 + 8×4 + 5×4) = 184 in.²

Area of the top rectangular prism that joins the bottom rectangular prism = l × w = 5 × 4 = 20 in.²

The surface area of the design = 112 + 184 - 2(20) = 256 in.²

Learn more about surface area of rectangular prism on:

https://brainly.com/question/1310421

#SPJ5

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