SOLUTION: A box has a square bottom and top is 5 cm high. Find its volume if its total surface area is 192 cm².
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Question 198085: A box has a square bottom and top is 5 cm high. Find its volume if its total surface area is 192 cm².
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the side of the square bottom and top
The area of the bottom plus top is:
The area of the 4 sides is:
Total surface area is:
given:
I'll solve by completing the square:
Both sides are perfect squares
Take the square root of both sides
The box measures 6 cm x 6 cm x 5 cm
The volume is cm3
check:
OK
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