A rectangular tank has a base that is 16 inches by 5 inches and a height of 18 inches. If the tank is half full of water, by how many inches will the water level rise if 260 cubic inches of water...

A rectangular tank has a base that is 16 inches by 5 inches and a height of 18 inches. If the tank is half full of water, by how many inches will the water level rise if 260 cubic inches of water are poured into it?

Can someone please explain how to get the answer???

Asked on by dawn214

2 Answers

embizze's profile pic

embizze | High School Teacher | (Level 2) Educator Emeritus

Posted on

The dimensions of the tank are 16x5x18 (in inches.)

If the tank is half full the dimensions of the water are 16x5x9, so the volume of water is 720 cubic inches.

If we add 260 cubic inches of water into the tank the volume becomes 720+260=980 cubic inches.

The volme is 16x5xh so 80h=980 ==> h=12.25 inches. This is the current height of the water.

Since the water rose from 9" to 12.25", the amount the water rose is 3.25".

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The water rose from 9" to 12.25", so it rose 3.25"

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aruv's profile pic

aruv | High School Teacher | (Level 2) Valedictorian

Posted on

Rectangular tank has base area =16 x 5 sq.inch

=80 square inch.

We know

volume of rectangular tank= area of base x height

when water  poured in tank it has same shape of rectangular tank.

Thus let height of the water level will rise by h inches.

Thus

volume of water= area of base (tank) x h

260= 80 xh

h=260/80

h= 3.25 inches.

Thus water level in tank will rise by 3.25 inches.