A rectangular container has base with dimensions 6 cm 9 cm. A cub… - Vidyadip

Question

A rectangular container has base with dimensions $6 \ cm \times 9 \ cm.$ A cube of edge $3 \ cm$ is placed in the container and then sufficient water is filled into it so that the cube is just submerged. Find the fall in the level of the water in the container, when the cube is removed.

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Answer

Volume of the fall in the level of water in the rectangular tank $=$ Volume of cube
$\therefore 1 \times b \times h=$ sides $^3$
$9 \times 6 \times h=3^3$
$h=\frac{27}{9 \times 6}$
$\therefore h=0.5 \ cm$
$\therefore$ The fall in the level of water in the container is $0.5 \ cm$.

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