Question

Find the volume of the triangular prism.

Answer 1

LxWxH:  31.5 is the volume of the triangle

Answer 2

Volume(V) of the triangular prism 31.5 cubic inches.

Step-by-step explanation:

Since this figure represents the triangular Prism.

Given in the figure:

Length of triangular prism
`l` is 4.5 in.

In the right triangular cross-section,

Base (b) = 2 in and the height (h) = 7 in.

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

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

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

Using the above values; solve for V;
`V = A \cdot l` where A is the area of right triangle, or we can write it as
`V =(1)/(2) bhl`

⇒
`V = (1)/(2) \cdot 2 \cdot 7 \cdot 4.5` cubic inches.

On simplifying we get,

`V = 31.5 inches^3`

Hence, the volume of the triangular Prism is, 31.5 cubic inches.