Question

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

Triangular pyramid: http://prntscr.com/jhd5by

A) 693 in^3

B) 924 in^3

C) 1,386 in^3

D) 2,771 in^3

Answer 1

The volume of the triangular pyramid to the nearest whole number is 924 inches cube.

Explanation:

So the formula to find the triangular pyramid is

V = `1/3`AH

A = area of triangle base
H = height of the pyramid

So let start with finding the area of the triangle base. So looking at the picture, we have two sides which the length are 19 inches and 13.2 inches. Now, let write down the triangle area formula.

A = `1/2`bh

B = Base
H = Height

So let plug in the number.

A = `1/2`(19)(13.2)
A = `1/2` (250.8) - Multiply 19 and 13.2
A = 125.40 inches square. - Multiplied 250.8 by `1/2`

So now we have the area of the triangle base. Let plug it back into the triangular pyramid volume formula.

The height of the triangular pyramid is 22.1 inches as stated in the picture.

V = `1/3`(125.40)(22.1)
V = `1/3` (2771.34) - Multiplied 125.40 and 22.1
V = 923.78 inches - Multiplied 2771.34 by `1/3`

Now, rounding to the nearest whole number would be 924 inches cube.