Question

A sealed tank of water measures 10cm x 8 cm x 40cm. When it stands on one

end, the water comes up 24cm on the side.
The tank is tipped over onto its side. It is sealed so no water escapes.
40cm
24cm
8cm
8cm
- 10cm
40cm
How far up the side of the tank is the water now?

Answer 1

New height = 6

Explanation:

The water is going to be the same volume no matter how the tank is orientated.

So you can do this 2 ways.

First way

Find the volume in the tank when the water goes up 24 cm on the height.

V = L*W*h

L = 8

W = 10

H = 24

V = 1920 cm^3

Now do it using the

L = 40

W = 8

h = ?

1920 = L * W * h

1920 = 40 * 8 * h

1920 = 320 * h

h * 320 = 1920

h = 1920/320

h = 6

Or you can do it without finding the 1920

L*W*h = L1 * w1 * h1

8*10*24 = 40 * 8 * h The 8's cancel

10*24 = 40*h Divide both sides by 10

24 = 4h Divide by 4

h = 6

Same as you got before.