Question

Find the volume of the triangular prism.

Answer 1

The volume of the triangular prism (V) is
`66 cm^3`

Explanation:

Given: The length of triangular prism
`l` is 11 cm .

Since in the triangular cross-section we have the base (b) equals to 3 cm and the height (h) equals to 4 cm.

Using Volume of triangular prism formula: - A triangular prism whose length is l units, and whose triangular cross section has base b units and height h units,

then, Volume(V) of the triangular prism is given by;

`V=(1)/(2) bhl` cubic unit

Using the values of
`l=11 cm`,
`b=3 cm` and
`h =4 cm` we have,

`V=(1)/(2)bhl= (1)/(2)\cdot 3 \cdot 4 \cdot 11`

On simplify we get;

`V=3\cdot 2 \cdot 11` cubic cm

⇒
`V=66 cm^3`

Therefore, the volume of the triangular prism is 66 cubic cm