Question

What is the volume of this triangular prism?

22.4 cm
18.1 cm
28 cm
313.6 cm3
506.8 cm3
5,676.16 cm3
11,352.32 cm3

Answer 1

5,676.16 is your answer 2021 Edge

I got it right

Explanation:

Answer 2

`V=5,676.16cm^3`

Explanation:

The volume of a triangular prism is defined by the formula:

`V=(area-of-base)*(length)`

In this case the base is triangular and the area of a triangle is:
`A=(1)/(2)(base)*(height)`

Then the volume is:

`V=(1)/(2)(base*height*length)`

Now we have to replace with the given values:

`V=(1)/(2)(22.4cm*18.1cm*28cm)\\\\V=(1)/(2)(11,352.32cm^3)\\\\V=5,676.16cm^3`

Then the correct answer is the third option.

`V=5,676.16cm^3`