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.
Accepted Solution
A:
------------------------------------------------------------------------------- First Box: ------------------------------------------------------------------------------- Volume of teh box = 3 x 4 x 6 = 72 cm³
------------------------------------------------------------------------------- Clay per cm³ ------------------------------------------------------------------------------- 72cm³ = 50g of clay. 1 cm³ = 25/36g of clay.
------------------------------------------------------------------------------- Second box : ------------------------------------------------------------------------------- Length = 6cm Width = 3 x 4 = 12cm Height = 3 x 2 = 6m
Volume = 6 x 12 x 6 = 432 cm³
------------------------------------------------------------------------------- Find Volume of clay : ------------------------------------------------------------------------------- 1 cm³ = 25/36 g 432 cm³ = 25/36 x 432 = 300g
------------------------------------------------------------------------------- Answer: 300g of clay -------------------------------------------------------------------------------