Question

A triangular prism. The triangular base has a base of 11 inches and height of 7 inches. The height is 9 inches. The formula for volume of a prism is V = Bh. The variable B stands for the . In this prism, B equals in.2. The variable h stands for . In this prism, h is in. The volume of the prism is in.3. This question is from e2020

Answer 1

The formula for volume of a prism is V = Bh.

The variable B stands for the ✔ area of the base.

In this prism, B equals ✔ 38.5 in.².

The variable h stands for ✔ height.

In this prism, h is ✔ 9 in.

The volume of the prism is ✔ 346.5 in.³.

Step-by-step explanation:

The answer above mine is correct. I hope this helps!

Answer 2

Variable B is the area of triangular base.

B = 38.5
`in^(2)`.

Variable h is the height of pyramid.

In the given prism, h is 9 inches.

The volume of prism is 346.5
`in^(3)`.

Step-by-step explanation:

Please refer to the attached image for the detailed labeling of all the sides.

`\triangle ABC` is the triangular base of the prism.

BC is the base of triangular base of the prism.

AP is the height of triangular base.

Area of triangular base is represented by B and is calculated by following formula of area of a triangle.

`Area = (1)/(2) * \text{Base}* \text{Height}`

`\Rightarrow (1)/(2) * 11 * 7\\\Rightarrow 38.5\ in^(2)`

Hence, B = 38.5
`in^(2)`.

Height of prism, h = 9 in

h is represented as side BE in the attached image.

It is know that volume of prism is given as :

V = Bh

Putting values of B and h:

`V = 38.5 * 9\\\Rightarrow V = 346.5\ in^(3)`