SOLUTION: Rosa has a collection of 2000 construction blocks. They measure 2 cm by 5 cm by 4 cm each. Her toy chest has a volume of 50 cm by 24 cm by 75 cm. Is it possible for Rosa to put all

Question 1062734: Rosa has a collection of 2000 construction blocks. They measure 2 cm by 5 cm by 4 cm each. Her toy chest has a volume of 50 cm by 24 cm by 75 cm. Is it possible for Rosa to put all her blocks in the toy chest?
1. No, the volume of the chest is greater than the volume of all the blocks but the 2000 blocks cannot fit.
2.Yes, the volume of the chest is greater than the volume of all the blocks and the 2000 blocks can fit.
3.No, the volume of the blocks is greater than the volume of the chest.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Volume of one construction block = (length)*(width)*(height)
Volume of one construction block = 2*5*4
Volume of one construction block = 40 cubic cm

Volume of the toy chest = (length)*(width)*(height)
Volume of the toy chest = 50*24*75
Volume of the toy chest = 90,000 cubic cm

Divide the volume of the toy chest over the volume of one construction block to get...

(volume toy chest)/(volume of 1 block) = (90,000)/(40) = 2,250

So if one block had a volume of 40 cubic cm, and there are 2,250 of these identical blocks, then they would take up a total volume of (2250)*(40) = 90,000 cubic cm. This value (2250) is the max number of blocks that the toy chest can hold. Any larger amount and it's too much.

Rosa has only 2000 blocks though. This value is less than 2250 which means that there's still enough room.

The final answer is Yes, the volume of the chest is greater than the volume of all the blocks and the 2000 blocks can fit. which is choice 2

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