A rectangular sheet of metal is 10 cm longer than it is wide. Squares 5 cm on a side, are cut from the corners of the sheet, and the flaps are bent up to form an open topped box having volume 6 liters. Find the original dimensions of the sheet of metal. 1L=1000cm³

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

good luck on your studies! : )

david edward.