Question

7.3.9.b a triangular pyramid has a base area of 15 in and a height of 10in. calculate the volume.

Explanation:

Step1: Recall the volume formula for a pyramid

The volume \( V \) of a pyramid is given by the formula \( V=\frac{1}{3}Bh \), where \( B \) is the base area and \( h \) is the height of the pyramid.

Step2: Substitute the given values into the formula

We are given that the base area \( B = 15\) square inches (assuming the unit for base area should be square inches, maybe a typo in the problem statement as "15 in" should be "15 in²") and the height \( h = 10\) inches. Substituting these values into the formula:
\( V=\frac{1}{3}\times15\times10 \)

Step3: Calculate the volume

First, calculate \( \frac{1}{3}\times15 = 5 \), then multiply by 10: \( 5\times10 = 50 \).

Answer:

The volume of the triangular pyramid is \( 50 \) cubic inches.