What is the volume of this container?

504 in³

Step-by-step explanation:

The volume of the large container is given by the formula

V = Lwh

Using our dimensions, we have

V = 6(12)(8) = 72(8) = 576 in³

The volume of the cut out portion is given by the same formula; using our dimensions, we have

V = 6(2)(6) = 12(6) = 72 in³

This leaves us with

576-72 = 504 in³

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