Question

A cardboard storage carton has a length of 3 feet a width of 2 feet and a volume of 12 ft3. what is the minimum amount of cardboard needed to make the box?

Answer 1

v=lwh
v=12
l=3
w=2
h=h
12=3*2*h
12=6*h
divide both sides by 6
2=h

surface aera=2(LW+LH+WH)
L=3
w=2
h=2

SA=2(3*2+3*2+2*2)
SA=2(6+6+4)
SA=2(16)
SA=32

minium is 32 ft²