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

Question

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

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Peyton 2 weeks 2021-09-07T23:03:49+00:00 2 Answers 0

Answers ( )

    0
    2021-09-07T23:05:24+00:00

    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.

    0
    2021-09-07T23:05:25+00:00

    Answer:

    Dd

    Step-by-step explanation:

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