Question

Find the volume of the triangular pyramid to the nearest whole number.

A) 340 in3
B) 567 in3
C) 850 in3
D) 1,133 in3

Answer 1

V = 1/3AH...where A is the the area of triangle base and H is height

lets do area of base....area of triangle is (HB)/2...so the area of the base is
(10* 17) / 2 = 170/2 = 85....so in the main formula, A = 85

V = 1/3AH......A = 85 and H = 20
V = 1/3(85 * 20)
V = 1/3(1700)
V = 1700/3
V = 566.6 rounds to 567 in^3 <==

Answer 2

The area of a triangular pyramid is given by
`V =(1)/(3) Ah`

Where A = area of the base, and h = height.


Knowing this, the area of your figure can be calculated by:


`(1)/(3) * ( (17*10)/(2) ) *20`
=

`(1)/(3) * 85 *20`
=

`(1)/(3) * 1700`
=

`566.(6)` reoccuring.

Or 567in^3