Question

Find the volume of this triangular prism

Answer 1

$\frac{1}{3} \times \frac{1}{2} \times 9 \times 6 \times 9 = 81$

Answer 2

Answer:

The volume of this triangular prism is 243 cubic ft

Step-by-step explanation:

A triangular prism whose length is $l$ units and whose triangular cross- section has base b unit and height h units.

Then, the Volume of the triangular prism(V) in  cubic unit is given by:

$V=\frac{1}{2}bhl$

In the given figure, we have the length $l$$=9 ft$ , base(b)= 6 ft

and height (h) = 9 ft

then, volume of triangular prism for the given figure is,  

$V=\frac{1}{2}bhl$

or $V=\frac{1}{2}\cdot 6 \cdot 9 \cdot 9$ cubic ft

Simplify:

$V=3\cdot 9\cdot 9 ft^3$$=243 ft^3$

Therefore, the volume of this triangular prism is 243 cubic ft.