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What is the surface area of the figure?

A. 287 cm3 B. 427 cm3 C. 504 cm3 D. 574 cm3

What is the surface area of the figure? A. 287 cm3 B. 427 cm3 C. 504 cm3 D. 574 cm-example-1

1 Answer

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This is a prism. The surface area is:
S=2 Ab+Al
Area of the base: Ab=(14 cm)(7 cm)+(14 cm-7 cm)(7 cm)
Ab=98 cm^2+(7 cm)(7 cm)
Ab=98 cm^2+49 cm^2
Ab=147 cm^2

Lateral area: Al=Pb h
Perimeter of the base: Pb=14 cm+14 cm+7 cm+7 cm+(14 cm-7 cm)+7 cm
Pb=14 cm+14 cm+7 cm+7 cm+14 cm-7 cm+7 cm
Pb=3(14 cm)+2(7 cm)
Pb=42 cm+14 cm
Pb=56 cm

Height of the prism: h=5 cm

Al=Pb h = (56 cm)(5 cm)
Al=280 cm^2

S=2 Ab+Al
S=2(147 cm^2)+280 cm^2
S=294 cm^2+280 cm^2
S=574 cm^2

Answer: Option D. 574 cm^2
User VajNyiaj
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