Question

Find the volume of a triangular pyramid when the area of the base is 24.2 feet and the height is 5.2 feet. Round to the nearest tenth, if necessary.

Answer 1

The rule of the volume of the triangular pyramid is

$V=\frac{1}{3}bh$

b is the area of its base

h is its height

Since the area of the base is 24.2 square feet, then

b = 24.2

Since its height is 5.2 feet, then

h = 5.2

Substitute them in the rule above to find the volume

$\begin{gathered} V=\frac{1}{3}(24.2)(5.2) \\ V=41.94666667ft^3 \end{gathered}$

Round it to the nearest tenth

$V=41.9ft^3$

The volume of the triangular pyramid is 41.9 cubic feet