Question

What is the area of one of the trianglar faces?

Answer 1

The area of one of the triangular faces is;

`6in^2`

Step-by-step explanation:

Given the diagram in the attached image.

We want to calculate the area of the triangular face.

Recall that the area of a triangle can be calculated using the formula;

`A=(1)/(2)bh`

Given;

`\begin{gathered} b=3in \\ h=\sqrt[]{5^2-3^2}=\sqrt[]{25-9}=\sqrt[]{16} \\ h=4in \end{gathered}`

Substituting the values;

`\begin{gathered} A=(1)/(2)*3in*4in \\ A=6in^2 \end{gathered}`

The area of one of the triangular faces is;

`6in^2`