Question

Find the volume of this triangular prism

Answer 1

`(1)/(3) * (1)/(2) * 9 * 6 * 9 = 81`

Answer 2

The volume of this triangular prism is 243 cubic ft

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=(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=(1)/(2)bhl`

or
`V=(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.