Question

I need help solving the volume of the triangular prism pleaseQuestion 11

Answer 1

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:

$\text{Volume = base area }\times\text{ height}$

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:

$Volume\text{ = Area of the right-angled triangle }\times\text{ height}$

Substituting the given dimensions:

$\begin{gathered} \text{Volume = }\frac{1}{2}\text{ base length }\times base\text{ height }\times\text{ height} \\ =\text{ }\frac{1}{2}\text{ }\times\text{ }6\text{ }\times\text{ 8 }\times\text{ 3} \\ =\text{ }72\text{ } \end{gathered}$

Hence, the volume of the prism is 72 cubic feet

Answer: 72 cubic feet