A triangular pyramid has an isosceles triangular base. The base edge of the triangular base is 10 inches and the height of the base is 16 inches. The volume of the pyramid is 480 cubic inches.

What is the height of the pyramid, in inches?

h=94.87

Step-by-step explanation:

1. Volume of pyramid formula:

Base Edge * Height of Pyramid

2. We have variables:

V = 480, Base Edge = 10, Height of Base = 16 (Inch)

3. Plug into formula + Rearrange:

h≅94.868

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl