A water-tank has a base with dimensions 2 feet by 6 feet. If a cube with each side 1foot is totally immersed in the water, how many inches will the water rise? (12inches= 1 foot)

Question

shane_b · Answer

Let's use inches. The area of the base is 1728 in^2.  You're adding 1728in^3...so it will rise 1 inch.

shane_b · Answer

I assume you know how I got those values for volume and area but if not just ask.

anonymous · Answer

no i don't remember  the formulas

anonymous · Answer

also what is meant by 2 feet by 6 feet?

shane_b · Answer

$$Area_{rect}=L*W=(24")(72")=1729in^2$$$$Volume_{cube}=s^3=12"^3=1728in^3$$Feet is a unit of length which contains 12 inches per foot.  It's giving you the measurements in feet which you should convert to inches before doing the calculations.  I did that part for you.

shane_b · Answer

err 1728in^2 should have been that first number...I mistyped it.

shane_b · Answer

To be clear: 2ft = 24inches and 6 foot = 72 inches.

anonymous · Answer

why you have taken cube of 12

shane_b · Answer

Because that's how you obtain the volume of a cube...side * side * side = Volume.

anonymous · Answer

but 12 is not the length of 1 side

shane_b · Answer

In the question, each side of the cube is 1ft.  1ft = 12 inches.  I converted everything to inches because it makes the problem simpler.

anonymous · Answer

sorry i didn't read the question carefully

shane_b · Answer

No problem...do you understand everything else now?

anonymous · Answer

yes