Question

what is the area of the base, b, of the prism?
b = 150 mm²
find the volume of the triangular prism.
v = mm³

Explanation:

Step1: Recall the volume formula for a prism

The volume formula for a prism is \(V = B\times h\), where \(B\) is the area of the base and \(h\) is the height (or length in this case) of the prism.

Step2: Identify the values of \(B\) and \(h\)

We are given that \(B = 150\space mm^{2}\) (area of the triangular base) and \(h=40\space mm\) (the length of the prism).

Step3: Calculate the volume

Substitute the values into the formula: \(V=150\times40\).

$$V = 150\times40=6000$$

Answer:

\(V = 6000\space mm^{3}\)