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

Answer:

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.

$Area = \dfrac{1}{2} \times \text{Base}\times \text{Height}$

$\Rightarrow \dfrac{1}{2} \times 11 \times 7\\\Rightarrow 38.5\ in^{2}$

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:

$V = 38.5 \times 9\\\Rightarrow V = 346.5\ in^{3}$

Answer 2

Answer:

B

Step-by-step explanation: