Question

question 1
this prism has a right triangle for a base. what is the volume of the prism?
v = type your answer... cm³

Explanation:

Step1: Calculate the area of the base

The base is a right - triangle. The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). Here, the base of the right - triangle \(b = 4\) cm and the height \(h=5\) cm.

$$A=\frac{1}{2}\times4\times5$$

$$A = 10\space cm^{2}$$

Step2: Calculate the volume of the prism

The formula for the volume of a prism is \(V=A\times l\), where \(A\) is the area of the base and \(l\) is the length of the prism. The length of the prism \(l = 8\) cm.

$$V=10\times8$$

$$V = 80\space cm^{3}$$

Answer:

\(80\)