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, \(B = \frac{1}{2}\times3\times4\).

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Step2: Identify the height of the prism

The height 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 \(B = 6\) and \(h=10\). So, \(V=6\times10\).

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Answer:

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