Question

the volume of a pyramid whose base is aright triangle is 234 units. If the two legs of the right triangle measures 9 units and 12 units find the height of the pyramid.

Answer 1

If the volume of this pyramid is 234 units, the height of the pyramid is equal to 13 units.

How to calculate the volume of a pyramid.

Mathematically, the volume of a pyramid is given by the formula:

$Volume = \frac{1}{3} \times base\;area \times height$

For the base area:

The area of a right triangle is given by:

$A=\frac{ab}{2} \\\\A=\frac{9 \times 12}{2} \\\\A=\frac{108}{2}$

A = 54 square units.

Given the following data:

Volume of a pyramid = 234 units.

Side lengths of right triangle = 9 and 12 units.

Now, we can calculate the height of the pyramid:

$234 = \frac{1}{3} \times 54 \times height\\\\234=18h\\\\h=\frac{234}{18}$

h = 13 units.

Read more on pyramid here: brainly.com/question/16315790