Question

A rectangular box with square base is constructed from material costing 1dollar per square centimetre for the sides and the base, the top costs 2 dollar per square centimetre. If the total cost of the box is to be 900 dollar, what is the maximum possible volume of the box?

Answer 1

@yashar806 what is the area of the top of the box????

Answer 2

I m not sure, not given

Answer 3

then assume as base is square so top will also be square then 2 out of 3 parameters (length, breadth , height) will be equal:)

Answer 4

you mean 3x^2 ?

Answer 5

nope
i mean let length=l
bredth=length=l (as base is square)
height=h:)
then area of base=l^2:)

Answer 6

got it??????

Answer 7

yes, then what ?

Answer 8

cost of base become=l^2*1=l^2 dollors
area of top will be _______and price will be__________
area of 4 sides will be _______and price will be__________
now fill in the blanks:)

Answer 9

2I^2 ? and I^2 /5

Answer 10

no ` it's 4

Answer 11

can u write it within blanks so that i can judge :)

Answer 12

@yashar806

Answer 13

are of top will be 2I^2?

Answer 14

area

Answer 15

no area of top will be l^2 again and price will be 2*l^2=2l^2

Answer 16

ok
thanks` I need go now`