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Question : The total surface area of a right pyramid on a square base of side 10 cm with height 12 cm is:

Option 1: 260 cm2

Option 2: 360 cm2

Option 3: 330 cm2

Option 4: 300 cm2


Team Careers360 15th Jan, 2024
Answer (1)
Team Careers360 19th Jan, 2024

Correct Answer: 360 cm 2


Solution :

In $\triangle$OAB,
Slant height, $l$ = $\sqrt {h^2 + AB^2}$
= $\sqrt {12^2 + 5^2}$
= $\sqrt{169}$
= $13$ cm
Total surface area = lateral surface area + area of the base
= $\frac{1}{2}$ × perimeter of base × slant height + area of the base
= $\frac{1}{2} × (4 × 10) × 13 + 10^2$
= $260+100$
= $360$ cm 2
Hence, the correct answer is 360 cm 2 .

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