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ICSE Class 9 Answered

a hollow prism of base a square of side 16cm contains water 10cm high. if a solid cube of side 8cm is immersed in it, by how much the water level rise?
Asked by hadiappu123 | 11 Jan, 2018, 06:36: PM
answered-by-expert Expert Answer
begin mathsize 16px style Volume space of space water space in space the space prism
equals 16 cross times 16 cross times 10
equals 2560 space cm cubed
Volume space of space cube
equals 8 cubed
equals 512 space cm cubed
Let space new space height space of space water space be space straight H space cm
New space volume space of space water equals volume space of space water space initially space plus space Volume space of space cube
2560 plus 512 equals 16 cross times 16 cross times straight H
3072 equals 256 straight H
straight H equals 12 space cm
Rise space in space water space level equals 12 minus 10 equals space 2 space cm end style
Answered by Sneha shidid | 17 Jan, 2018, 11:13: AM
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