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Levart [38]
3 years ago
12

A triangular pyramid with a height of 9 inches has a volume of 63 cubic inches. If the height of the triangular base is 6 inches

,
what is the base length of the triangular base? (Recall the formula V - 3 Bh)
A) 2 2/3 in
B) 7 in
C) 10 1/2 in
D) 21 in
Mathematics
1 answer:
Bond [772]3 years ago
3 0

Option D: 21 in is the base length of the triangular base.

Explanation:

Given that a triangular pyramid with a height of 9 inches has a volume of 63 cubic inches.

The height of the triangular base is 6 inches.

We need to determine the base length of the triangular pyramid.

The base length of the triangular pyramid can be determined using the formula,

Volume =\frac{1}{3} \times Bh

Substituting Volume=63 and Height=9 in the above formula, we get,

63 =\frac{1}{3} \times B(9)

Simplifying the terms, we get,

63 =3B

Dividing both sides by 3, we have,

21=B

Thus, the base length of the triangular pyramid is 21 in

Hence, Option D is the correct answer.

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