SOLUTION: hi please help me with this. this is only what i am not done with an dhave to hand this in tomorrow. it is already 10 at night here. I am really worried please help me Kayla

Question 116732: hi please help me with this. this is only what i am not done with an dhave to hand this in tomorrow. it is already 10 at night here. I am really worried
please help me

Kayla has 1.5 m (squared) of sheet metal to build a storage box for firewood.
a) what is the surface area of the metal , in square centimeters?
b) What are the dimensions for this square based prism box with maximum volume including a lid ?
c)If the box doesnt have a lid, what are the demensions of the square based prism. Round off to the nearest tenth of a centimeters.hint( make a table of possible boxes)
any help will be apreciated
for a) i think the area is 150 cm squared
for B according to my calculations the dimensions are 5 x 5 x 5 cm and the volume is 125 cm (cubed)
I dont know if my answers are correct and I am stuck on c)
any help will bw greatly appreciated . Please help me
I need help desperately

Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
there are 100 cm in a meter, so there are 100^2 cm^2 in a square meter

a) should be 15,000 cm^2

for a prism, the largest volume with the least surface area is a cube
___ 6 equal sides with an area of 15000/6 or 2500
___ so the edge is sqrt(2500) or 50 ___ the volume is 50^3 or 125000 cm^3 (125 liters)

if there is no lid, then there are 5 equal sides
___ the area of each side is 15000/5 or 3000
___ so the edge is sqrt(3000)
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