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Standard VIII

Mathematics

Total Surface Area of a Cuboid

A rectangular...

Question

A rectangular container has base of length 12 cm and width 9 cm. A cube of edge 6 cm is placed in the container and then sufficient water is filled into it so that the cube is just submerged. Find the fall in level of the water, in the container, when the cube is removed.

2 cm

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1 cm

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4 cm

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3 cm

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Solution

The correct option is A 2 cm
Volume of cube of edge 6 cm $= 6^{3} = 126$
Given, length $= 12$ , width $= 9$
Volume of rectangle $= 12 \times 9 \times h$
$∴$ volume of cube emerged,so equal to volume of rectangle
$216 = 108 h$
$h = 2 c m$

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A rectangular container has base of length 12 cm and width 9 cm. A cube of edge 6 cm is placed in the container and then sufficient water is filled into it so that the cube is just submerged. Find the fall in level of the water, in the container, when the cube is removed.

The correct option is A 2 cmVolume of cube of edge 6 cm=63=126Given, length =12, width =9Volume of rectangle =12×9×h∴ volume of cube emerged,so equal to volume of rectangle216=108hh=2cm

The correct option is A 2 cm
Volume of cube of edge 6 cm $= 6^{3} = 126$
Given, length $= 12$ , width $= 9$
Volume of rectangle $= 12 \times 9 \times h$
$∴$ volume of cube emerged,so equal to volume of rectangle
$216 = 108 h$
$h = 2 c m$