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Bas_tet [7]
3 years ago
7

Jef put a small box that is 12 inches long, 8 inches wide, and 4 inches tall inside a box that is 20 inches long,15 inches wide,

and9 inches high. how much space is left in the larger box?
Mathematics
1 answer:
alexira [117]3 years ago
8 0
The answer can be found by subtract the volume of the small box from the volume of big box.

Volume of the small box:
12*8*4= 384 inches cube

Volume of the big box:
20*15*9= 2700 inches cube

The space left:
2700 - 384 = 2316 inches cube
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Answer:

[See Below]

Step-by-step explanation:

Look at the "Fraction" column, all the fractions in this column must add up to 1 (because the whole bag contains only Red, Green, Blue or Other coloured beads).

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And so we know the fractions in the missing boxes must add up to 1 - \frac{1}{3} = \frac{2}{3}.

This means that the number of blue and green beads is 2/3rds of the total number of beads in the bag. There are 12+4=16 blue+green beads so

\frac{2}{3} \times \text{Number of beads} = 16 \Rightarrow \text{Number of beads} = 24.

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Finally to complete the missing fractions: there are 12 blue beads and 24 in total so the fraction of blue beads is 12/24 = 1/2. Similarly, there are 4 green beads so the fraction of green beads is 4/24 = 1/6.

(I thought this was a very tricky question. Let me know in the comments if something doesn't make sense, or if you need more explanation on any part, or even if you spot an easier way to do it that I can't.)

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