The diagram is a net right rectangular pyramid ... - WAEC Mathematics 2010 Question
The diagram is a net right rectangular pyramid. Calculate the total surface area
A
208cm2
B
112cm2
C
92cm2
D
76cm2
correct option: c
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
= 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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