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Water is filled to 4cm below the top of the prism which makes the volume to be 72. When you turn the prism on its side how many cm from the top is the water? Explain

2006-10-12 08:35:17 · 6 answers · asked by D M 1 in Science & Mathematics Mathematics

It is an Rectangle Prism standing straight up with 12 cm going up.

2006-10-12 08:49:23 · update #1

6 answers

Given that the prism is a square-based prism then when the prism is laid on its side the 72cu cm of water occupies a volume which is:-

12 x 3 x height (ht)

so 12 x 3 x ht = 72

therefore ht = 2cm

If the total height of the prism when laid on its side is 3cm then the water is 3 - 2 = 1cm from the top

[worked out by my 10 yr old daughter]

2006-10-12 08:47:11 · answer #1 · answered by Anonymous · 0 0

If your 12 cm tall rectangular prism is is filled to a height 4 cm from the top, then it is 4/12 or 1/3 empty. If you turn it on its side, it will still be 1/3 empty and the water will be 1/3 of 3 cm from the top. Therefore, the water will be 1 cm from the top.

2006-10-12 16:48:03 · answer #2 · answered by a1mathguy 2 · 0 0

You need to let us know what the base of the prism is in order to know how the prism will change when it is turned on its side.

Also are we to assume it is a rectangular prism?

2006-10-12 15:38:20 · answer #3 · answered by SmileyGirl 4 · 0 0

Because one of the three is a two not a three. So if there is two 3's and one 12. then the answer would be 108.

2006-10-12 15:38:03 · answer #4 · answered by neopetsrockstar10 2 · 0 0

2cm full
that is 1 cm from the top

2006-10-12 15:52:52 · answer #5 · answered by raj 7 · 0 0

the 4 cm...chotu..go nd grab a prism..nd see how it works out....

2006-10-12 15:37:31 · answer #6 · answered by nari 3 · 0 0

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