Question

What is the volume of this triangular prism? 313.6cm3 506.8cm3 5,676.16cm3 11,352.32cm3

Answer 1

c

Explanation:

i took the quiz

Answer 2

The question is incomplete. Here is the complete question:

What is the volume of this triangular prism?

Base length = 22.4 cm

Height = 18.1 cm

Length = 28 cm

A) 313.6 cm3

B) 506.8 cm3

C) 5,676.16 cm3

D) 11,352.32 cm3

Answer:

`V=5,676.16\ cm^3`

Explanation:

Given:

The base of the prism is triangular with base length equal to 22.4 cm and height 18.1 cm. The length of the prism is 28 cm.

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

`V=(Area\ of\ base)* (length)`

Here, the base is triangular and the area of a triangle is:

`A=(1)/(2)base * height`

Therefore, the volume of the triangular prism is given as:

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

Now, plug in the given values and solve for the volume 'V'.

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

Therefore, the correct answer is the third option.

`V=5,676.16\ cm^3`