Question

A box 3 centimeter high, 4 centimeters wide, and 6 centimeters long can hold 50 grams of clay. A second box has twice the height, 3 times the width and the same length as the first box. How many grams of clay can it hold? Show your work.

Answer 1

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First Box:
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Volume of teh box = 3 x 4 x 6 = 72 cm³

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Clay per cm³
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72cm³ = 50g of clay.
1 cm³ = 25/36g of clay.

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Second box :
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Length = 6cm
Width = 3 x 4 = 12cm
Height = 3 x 2 = 6m

Volume = 6 x 12 x 6 = 432 cm³

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Find Volume of clay :
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1 cm³ = 25/36 g
432 cm³ = 25/36 x 432 = 300g

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Answer: 300g of clay
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