Question

If X = 6 units, Y = 5 units, and Z = 9 units, then what is the surface area of the right triangular pyramid shown above?

Answer 1

Explanation

We are given a right triangular pyramid shown below:

`\begin{gathered} X=6units \\ Y=5units \\ Z=9units \end{gathered}`

We are required to determine the surface area of the given figure.

This is achieved thus:

We know that the surface area of a right triangular pyramid is given as:

Therefore, we have:

`\begin{gathered} A_s=(1)/(2)XY+(3)/(2)XZ \\ A_s=((1)/(2)\cdot6\cdot5)+((3)/(2)\cdot6\cdot9) \\ A_s=15+81 \\ A_s=96\text{ }square\text{ }units \end{gathered}`

Hence, the answer is:

`96\text{ }square\text{ }units`