Let us begin by defining the formula for finding the volume of a prism.
The volume of a prism can be found using the formula below:
[tex]\text{Volume = base area }\times\text{ height}[/tex]
For the given prism, the base is a right-angled triangle. The dimensions of the prism are:
base height = 8 ft
height = 3ft
base length =6 ft
length of the hypothenuse = 10ft
Hence, the volume of the prism is:
[tex]Volume\text{ = Area of the right-angled triangle }\times\text{ height}[/tex]
Substituting the given dimensions:
[tex]\begin{gathered} \text{Volume = }\frac{1}{2}\text{ base length }\times base\text{ height }\times\text{ height} \\ =\text{ }\frac{1}{2}\text{ }\times\text{ }6\text{ }\times\text{ 8 }\times\text{ 3} \\ =\text{ }72\text{ } \end{gathered}[/tex]
Hence, the volume of the prism is 72 cubic feet
Answer: 72 cubic feet
