Respuesta :
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,
[tex]Volume =\frac{1}{3} \times Bh[/tex]
Substituting [tex]Volume=63[/tex] and [tex]Height=9[/tex] in the above formula, we get,
[tex]63 =\frac{1}{3} \times B(9)[/tex]
Simplifying the terms, we get,
[tex]63 =3B[/tex]
Dividing both sides by 3, we have,
[tex]21=B[/tex]
Thus, the base length of the triangular pyramid is 21 in
Hence, Option D is the correct answer.
