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Question

If the height and the slant height of a square pyramid are 8 cm and 10 cm respectively, what is the volume of the pyramid?

A
192 cubic centimetres
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B
384 cubic centimetres
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C
120 cubic centimetres
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D
96 cubic centimetres
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Solution

The correct option is B 384 cubic centimetres
Note first that the Volume of a square pyramid = 13×Base area×Height
Given that the height and the slant height of a square pyramid are 8 cm and 10 cm respectively.
We haveHalf the base edge=(Slant height of the pyramid)2(Height of the square pyramid)2=100282=10064=36=6 cm
Base edge=12 cm and the base area=144 cm2
Thus, the required volume = 13×144×8=384 cubic centimetres

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