Question

Mr. McBride asks students to find the volume of the triangular pyramid below. Which student wrote the correct expression for the value of B, the area of the base?

Answer 1

Given:

Given that Mr. McBride asks students to find the volume of the triangular pyramid.

The two students wrote the expression for the value of B, the area of the base of the pyramid which is attached in the picture below.

We need to determine the student who correctly wrote the value of B.

Expression for value of B:

The area of the base of the triangular prism can be determined using the formula,

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

where b is the base of the triangle and h is the height of the triangle.

From the figure, the base of the triangle is 9 inches and the height of the triangle is 12 inches.

Substituting in the above formula, we get;

`B=(1)/(2)(9 \cdot 12)`

Thus, the correct expression for the area of the base is
`B=(1)/(2)(9 \cdot 12)`

Hence, the expression wrote by MAE is correct.