    Question

# The slant height of a square pyramid is 10 cm and its surface area is 144 square centimetres. What is the volume of the square pyramid?

A
384 cubic centimetres
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B
400 cubic centimetres
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C
192 cubic centimetres
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D
100 cubic centimetres
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Solution

## The correct option is A 384 cubic centimetresNote first that the Volume of a square pyramid = 13×Base area×Height Given that the base area of the square pyramid = 144cm and the slant height of a square pyramid is 10 cm ⟹Baseedge=√144=12 cm Now, Height of the square pyramid=√(Slant height of the pyramid)2−(Half the base edge)2=√1002−62=√100−36=√64=8 cm Thus, the required volume = 13×144×8=384 cubic centimetres  Suggest Corrections  1      Similar questions  Explore more