Question

find the volume of the triangular prism.
volume formula
v = bh
b = area of the triangular base
begin by finding the area of the triangle base.
b = ? ft²
h = ft
v = ft³
this is the height of the shape!
the triangle is the base (b) of the shape!

Explanation:

Step1: Calculate the area of the triangular base

The formula for the area of a triangle is \( B=\frac{1}{2}\times base\times height \). Here, the base of the triangle is \( 3\) ft and the height of the triangle is \( 4\) ft. So, \( B = \frac{1}{2}\times3\times4=6\) \(ft^{2}\).

Step2: Identify the height of the prism

The height \(h\) of the prism (the length along which the triangular base is extended) is \(10\) ft.

Step3: Calculate the volume of the triangular prism

Using the formula \(V = Bh\), substitute \(B = 6\) \(ft^{2}\) and \(h=10\) ft. Then \(V=6\times10 = 60\) \(ft^{3}\).

Answer:

\(B = 6\) \(ft^{2}\), \(h = 10\) ft, \(V = 60\) \(ft^{3}\)