320*6=1920
1920/8=240cm^3
A box of height 8cm has a volume of 320cm cube.What is the volume of a similar box of height 6cm
3 answers
The volume of 2 similar objects is proportional to the cube of its linear sides
320/x = 8^3/6^3
512x = 69120
x = 69120/512 = 135
or
the side ratio is 6/8 = 3/4
old volume = 8(l)(w) = 320
lw = 40
new volume = 6(3l/4)(3w/4) = 54/16 lw
= (54/16)(40)
= 135
320/x = 8^3/6^3
512x = 69120
x = 69120/512 = 135
or
the side ratio is 6/8 = 3/4
old volume = 8(l)(w) = 320
lw = 40
new volume = 6(3l/4)(3w/4) = 54/16 lw
= (54/16)(40)
= 135
Thanks
1 answer