Answer:
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 [tex]\frac{1}{3}[/tex] cubic yards.
Volume of a triangular pyramid in general is [tex]\frac{1}{3}[/tex] × B × h where the area of the base is B, and the height is h.
Equating the volume we get,
[tex]\frac{1}{3}[/tex] × B × h = 333 [tex]\frac{1}{3}[/tex]
⇒ 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.
