A rectangular tank containing water is $5$ m long, $3$ m broad and $2$ m deep. Find how much the water will rise, if a block of lead $1$ m x $45$ cm x $30$ cm is put in the tank?

9

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9

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Solution

The correct option is C $9$ mm
Let the amount that is going to rise be $a$
The length and the breadth of rectangular tank is $5 m$ and $3 m$
Only that has to be taken into consideration since the height will vary.
First convert $c m$ into $m$
$45 c m = 0.45 m$
$30 c m = 0.30 m$
The dimensions of the lead block is $1 m \times 0.45 m \times 0.30 m$
Volume of cuboid $= l e n g t h \times b r e a d t h \times h e i g h t$
$\Rightarrow 0.45 \times 0.30 \times 1 = 5 \times 3 \times a$
$\Rightarrow 0.135 = 15 a$
$\Rightarrow a = 0.009 m = 9 m m$

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A rectangular tank containing water is 5 m long, 3 m broad and 2 m deep. Find how much the water will rise, if a block of lead 1m x 45 cm x 30 cm is put in the tank?

A rectangular tank containing water is $5$ m long, $3$ m broad and $2$ m deep. Find how much the water will rise, if a block of lead $1$ m x $45$ cm x $30$ cm is put in the tank?