Question

Help please!! What’s the volume of the triangular prism?

Answer 1

`\large\boxed{D.\ 168\ units^2}`

Explanation:

`\text{The formula of a volume of a prism:}\\\\V=BH\\\\B-base\ area\\H-height\\\\\text{In the base we have the right triangle.}\\\text{The formula of an area of a right triangle:}\ A=(ab)/(2)\\\\a,b-legs\\\\\text{We have}\ a=6\ \text{and}\ b=8.\ \text{Substitute:}\\\\B=((6)(8))/(2)=(48)/(2)=24\\\\\text{Calculate the volume:}\\H=7\\\\V=(24)(7)=168\ units^2`

Answer 2

To find the volume of a triangular prism, we have to multiply the area of the base by the heigh of the prism.

Let's first identify our values:

7 = height of the prism

6 = base of triangle

8 = height of triangle

First, we have to multiply the base of the triangle by the height of the triangle. The base of the triangle is 6 and the height of the triangle is 8. Then, we have to divide it by 2.

6 × 8 = 48

48 ÷ 2 = 24

Finally, we have to multiply 24 by the height of the prism. 24 × 7 = 168

Therefore, the volume of the prism is 168
`units^(2)`