Posted by **Anonymous** on Sunday, February 19, 2012 at 2:58pm.

HOw many cubic meter of water will an air tight rectangle box with a mass of 8000 kg and dimensions of 10m long 5m wide 3m tall displace when dropped in water? will it float?

- physics -
**Henry**, Tuesday, February 21, 2012 at 11:16am
V = L*W*h = 10 * 5 8 3 ,

= 150 m^3 = 1.50*10^8 cm^3 = Vol. of box.

Db = 8*10^6g * (1/1.5*10^8cm^3) = 0.0533 g/cm^3 . = Density ofbox.

Dw = 1g/cm^3 = Density of water.

Vb = (Db/Dw)*V,

Vb = (0.0533 / 1)*150 = 8 m^3 = Vol.

below water = Vol. of water displaced.

The box will float, because its' density is less than density of water.

- physics -
**Henry**, Tuesday, February 21, 2012 at 11:26am
Correction: V = 10 * 5 * 3 = 150 m^3.

## Answer this Question

## Related Questions

- physics - (a) Assuming that each cubic centimeter of water has a mass of exactly...
- DIFF CALCULUS - A swimming pool is 12 meters long, 6 meters wide, 1 meter deep ...
- Math - A production crew is assembling a three-level platform inside a stadium ...
- Calculus - An open box with a capacity of 36,000 cubic inches is to be twice as ...
- CALCULUS - Hi guys can you help me! Please teach me step by step.. I really need...
- Calculus - A water trough is 6 m long, and its cross-section has the shape of an...
- geometry - Ava's aquarium is 10 in. tall,15 in. long,and 8 in. wide.The aquarium...
- physics - I have 2 questions: Assuming that water has a density of exactly 1 g/...
- math - A water tank can be constructed with a metal top and two square ends that...
- physics - when inflated, a rubber lifeboat takes the form of rectangular box of ...

More Related Questions