Question

find the volume. round to the nearest hundredth if necessary, do not include units with your answer. 6 m 3 m 4 m

Explanation:

Step1: Calculate the area of the triangular base

The formula for the area of a right - triangle is \(A=\frac{1}{2}\times base\times height\). Here, the base \(b = 3\) and the height \(h=4\).

$$A=\frac{1}{2}\times3\times4$$

$$A = 6$$

Step2: Calculate the volume of the triangular prism

The formula for the volume of a prism is \(V=A\times h\), where \(A\) is the area of the base and \(h\) is the height of the prism. The height of the prism is \(6\).

$$V=6\times6$$

$$V = 36$$

Answer:

36