A toy is shaped as a triangular prism. The toy has a
base of 108 square inches. What is the height of the toy if
the volume is 729 cubic inches?

Respuesta :

Answer:

[tex]\huge\boxed{\sf h = 6.75 \ in.}[/tex]

Step-by-step explanation:

Given Data:

Base area = [tex]A_{B}[/tex] = 108 in.²

Volume = V  = 729 in.³

Required:

Height = h = ?

Formula:

[tex]V=A_{B}h[/tex]

Solution:

For h, rearranging formula:

[tex]\displaystyle h = \frac{V}{A_{B}} \\\\h =\frac{729 \ in.^3}{108 \ in.^2} \\\\h = 6.75 \ in.\\\\\rule[225]{225}{2}[/tex]