SOLUTION: i).find the surface area of a rectangular glass block whose volume is 1524cm^3 , if it is 72cm long and 48cm wide

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Question 1183318: i).find the surface area of a rectangular glass block whose volume is
1524cm^3 , if it is 72cm long and 48cm wide
Found 3 solutions by Solver92311, josgarithmetic, Edwin McCravy:
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


You are given the length and width. Multiply length times width and then divide the volume by that product to get the depth. The surface area is then 2 times the length times the width plus 2 times the length times the depth plus two times the width times the depth. You can do your own arithmetic.


John

My calculator said it, I believe it, that settles it

From
I > Ø

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y, how tall you need to find.

system%28L=72%2Cw=48%2Cy=unknown%2Cv=1524%29

Lwy=v
y=v%2F%28Lw%29-----------substitute and evaluate y.


Surface area of the glass block:
2%28Lw%29%2B2%28wy%29%2B2%28Ly%29
Substitute the value for each variable and evaluate the surface area.

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
i).find the surface area of a rectangular glass block whose volume is
1524cm^3 , if it is 72cm long and 48cm wide


That glass "block" which is is 72cm long and 48cm wide, is
less than half a centimeter high!

So it's not really a glass block.  It's a sheet of glass to
be installed in a window as a window-pane!

So we wouldn't call the 0.4410 cm "the height", but rather,
"the THICKNESS" of the window pane.

The surface area is the total area of the front and back
surfaces which is two times this area:

A = LW
A = (72 cm)(48 cm)
A = 3456 cm2

Twice that is  

Total area of front and back = 6912 cm2

The area of the left and right edges is twice this area:

A = LW     (The width is the thickness)
A = (72 cm)(0.4410 cm)
A = 31.752 cm2

Twice that is 63.504 cm2

The area of the top and bottom edges is twice this area:

A = LW     (The width is the thickness)
A = (48 cm)(0.4410 cm)
A = 21.168 cm2

Twice that is 42.336 cm2

Add all of it up:

Total area of front and back = 6912 cm2
Total area of left and right long edges = 63.504 cm2
Total area of top and bottom short edges = 42.336 cm2
-----------------------------------------------------------------
Total surface area = 7017.84 cm2

Edwin