Asked by anonymous
Find the dimensions of the rectangular box with the largest volume if the total surface area is given as 64 cm^2.
Answers
Answered by
mathhelper
Insufficient data.
Is there a top to the box
Is the base a square?
If so, then all sides must be equal,
let each side be x cm long
so you have 6x^2 = 64
x = 8/√6 or 8√6/6 = 4√6/3 cm
Then the largest volume = (4√6/3)^3 = approx 34.84 cm^3
Is there a top to the box
Is the base a square?
If so, then all sides must be equal,
let each side be x cm long
so you have 6x^2 = 64
x = 8/√6 or 8√6/6 = 4√6/3 cm
Then the largest volume = (4√6/3)^3 = approx 34.84 cm^3
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