SOLUTION: A box with a square base no top is to be made from a square piece of tin by cutting out a 3cm square from each corner and folding up the sides. If the box is to hold 48cm3, what si
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-> SOLUTION: A box with a square base no top is to be made from a square piece of tin by cutting out a 3cm square from each corner and folding up the sides. If the box is to hold 48cm3, what si
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Question 3479: A box with a square base no top is to be made from a square piece of tin by cutting out a 3cm square from each corner and folding up the sides. If the box is to hold 48cm3, what size piece of tin should be used. Answer by Pieter(35) (Show Source):
You can put this solution on YOUR website! With o problem like this, it is good to draw some sketches.
Draw the unfolding (a square with in each corner a smaller square with a side of 3cm) The volume of the box (with a square basesurface) is base² x height and that has to be 48 cm³. When you draw the unfolding, you can see that the height is 3 cm (cause of the smaller squares you cut). b² x h = 48 so
b²=48/3=16 thus b=4cm. Now we can calculate the surface of the tin:
A=(b+2*3cm)² This gives a surface of 100cm².
I hope you understand it, I tried to put a picture on this but it didn't work. You can always mail me at gurdebeke_pieter@hotmail.com
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