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The diagram is a net right rectangular pyramid. Calculate the total surface area

Mathematics
WAEC 2010

The diagram is a net right rectangular pyramid. Calculate the total surface area
  • A. 208cm2
  • B. 112cm2
  • C. 92cm2
  • D. 76cm2
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Correct Answer: Option C
Explanation
Total surface area = sum of the area of the \(\bigtriangleup\) S + Area of the rectangle

= 2 x Area of \(\bigtriangleup\) PTQ + 2 x Area of \(\bigtriangleup\) QUR + Area of rectangle PQRS

2 x \(\frac{1}{2}\)(8 x 4) + 2 x \(\frac{1}{2}\)(5 x 4) + 8 x 5

= 32 + 20 + 40

= 92cm2

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