A triangular pyramid has a volume of 333 and one-third yards cubed. What are the possible measures of the area of the base, B, and the height, h, of the pyramid?

The correct answer is the possible measure of area of the base, B, and height of the pyramid, h, can be 3, 9, 111 or 37.

Step-by-step explanation:

Volume of a triangular pyramid is 333 cubic yards.

Volume of a triangular pyramid in general is × B × h where the area of the base is B, and the height is h.

Equating the volume we get,

× B × h = 333

⇒ B × h = 333

⇒ B × h = 3 × 3 × 37

Thus the possible measures of area of base B and height of pyramid h are 3, 9, 37 or 111.

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