Question

What steps should be taken to calculate the volume of the right triangular prism? Select three options

Answer 1

To calculate the volume of a triangular prism, measure the width and height of a triangular base, then multiply the base by the height by 1/2 to determine the triangle's area. Next, measure the height of the triangular prism and multiply this by the triangle's area to get the volume

Answer 2

1st, 4th and 5th options are correct.

Explanation:

Please find the attachment.

We are asked to choose three steps to calculate the volume of the given right triangular prism.

We know that base of triangular prism is triangle. The volume of triangular prism is area of base times height of the prism.

Let us find area of triangular base using area of triangle formula.

`A=(1)/(2)bh`, where,

b = Base length,

h = Height of triangular base.

Therefore, 1st option is correct.

Upon substituting the base length (8 m) and height (14 m), we will get:

`A=(1)/(2)(\text{8 m}* \text{14 m})`

`A=\text{4 m}* \text{14 m}`

`A=56\text{ m}^2`

Therefore, 4th option is correct.

The volume of the prism would be area of base times height of prism (7 m) as:

`\text{Volume of the prism}=(56\text{ m}^2)* 7\text{ m}`

`\text{Volume of the prism}=392\text{ m}^3`

Therefore, 5th option is correct as well.