Question

a student solved the problems in the steps below. write out the steps that the student took to solve the problem.
what does b represent?
steps
step 1:
step 2:
work

Explanation:

Step 1: Find the area of the base (B)

The base is a triangle. The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). Here, the base of the triangle \(b = 6\) ft and the height \(h = 10\) ft.

$$B=\frac{1}{2}\times6\times10= 30\space ft^{2}$$

Step 2: Calculate the volume (V)

The formula for the volume of a triangular pyramid is \(V=\frac{B\times h}{3}\), where \(h = 8\) ft (the height of the pyramid).

$$V=\frac{30\times8}{3}=80\space ft^{3}$$

Answer:

The value of \(B\) (the area of the base) is \(30\space ft^{2}\), and the volume \(V\) of the triangular pyramid is \(80\space ft^{3}\).