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 triangular base

For a right - triangle with sides \(a = 3\), \(b = 4\) (using the Pythagorean triple \(3 - 4-5\)), the area of a triangle \(A=\frac{1}{2}\times base\times height\). Here, \(A=\frac{1}{2}\times3\times4\).

$$A = 6$$

Step2: Use the formula for the volume of a prism

The volume of a prism \(V=A\times h\), where \(A\) is the area of the base and \(h\) is the height (length) of the prism. The height of the prism \(h = 8\).

$$V=6\times8$$

$$V = 48$$

Answer:

\(48\)