Question

What is the surface area of the figure?

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

Answer 1

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