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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 centimetres
Note 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=100262=10036=64=8 cm
Thus, the required volume = 13×144×8=384 cubic centimetres

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