Question

The question is on the picture

Answer 1

B

Explanation:

Volume of a triangular pyramid =
`(1)/(3) bh`

where b = area of base and h = height

We are already given that the height is 17in

All we need to do is find the area of the base.

The base is a triangle with a base length of 12 in and a height of 10 in

To find the area of a triangle we multiply the base length by the height then divide by 2

so area = (12 * 10 ) / 2

12 * 10 = 120

120 / 2 = 60

Hence the area of the base is 60in²

Now we plug in the values into the formula for volume of a pyramid

`V=(1)/(3) 60*17\\(1)/(3) 60=20\\20*17=340`

V = 340

Hence the answer is B