Question

the triangular prism below has a base area of 38 units² and a height of 6.5 units. find its volume.

Explanation:

Step1: Recall the volume formula for a prism

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

Step2: Substitute the given values into the formula

Given \(B = 38\) units² and \(h=6.5\) units. Then \(V=38\times6.5\).

Step3: Calculate the product

\(38\times6.5=(40 - 2)\times6.5=40\times6.5-2\times6.5 = 260-13=247\)

Answer:

247 units³