A cube will have the maximum volume for a minimum surface area.
length of side ---- x
x^3 = 274 625
x = 274 625^(1/3) = 65 cm
So each of the 6 sides needed = 65^2 cm^2
total surface area = 6(65)^2 cm^2 = 25,350 cm^2
20 square feet???
We were doing so nicely working in the metric system, and you come
along with that colonial unit of square feet.
Look up how many cm^2 there are in a ft^2, then find it for 20 ft^2 to see if there is enough
an electrical transformer box is a rectangular prism constructed from sheet metal. it must have a volume of at least 274 625 cm^3 to hold all the necessary equipment.
a) what dimensions for the box require the least area of sheet metal?
b) what area of sheet metal is needed to build the box?
c) Tony has 20 square feet of sheet metal. will this be enough to construct the box? justify your answer.
1 answer
1 answer