Answered

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What is the surface area of the prism?

550 1/4 cm^2

412 3/4 cm^2

275 1/8 cm^2

137 9/16 cm^2

What Is The Surface Area Of The Prism 550 14 Cm2 412 34 Cm2 275 18 Cm2 137 916 Cm2 class=

Sagot :

sqdancefan

Answer:

  (c)  275 1/8 cm²

Step-by-step explanation:

You want the surface area of the prism with the given net.

Net area

The vertical stack of rectangles down the middle of the net has a height of

  4 +5 3/4 +4 +5 3/4 = 19 1/2 . . . . cm

Its width is 11 3/4 cm, so the area of that is ...

  A = LW = (19 1/2 cm)(11 3/4 cm) = 229 1/8 cm²

The two "flaps" on left and right are 5 3/4 cm high by 4 cm wide, so their area is ...

  A = LW = (5 3/4 cm)(4 cm) × 2 = 46 cm²

The total area of the net is the sum of these areas:

  229 1/8 +46 = 275 1/8 . . . . cm²

The surface area of the rectangular prism is 275 1/8 cm².

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