Question

salt water has a density of 1030 kg/m^3. a piece of wood with mass of 1260 g is a cuboid with dimensions 7 cm x 10 cm x 15 cm.Will it float in water? a) Work out the volume of the wood b) Work out the density of the wood

Answer 1

No, the piece of Wood will not follow.

a) Volume = 0.00105 m³

b) Density of Wood = 1200 kg/m³

Explanation:

For the piece of wood to float on salt water, the density of the wood should be less than 1030kg/m³

First we'll calculate the volume of the piece of wood, which later we'll use to find the density.

a) Volume of Wood

Volume is given by 7 cm × 10 cm × 15 cm

Convert all the values into meters.

7 cm = 7/100 = 0.07 m

10 cm = 10/100 = 0.10 m

15 cm = 15/100 = 0.15 m

Calculate Volume:

Volume = 0.07 m × 0.1 m × 0.15 m

Volume = 0.00105 m³

b) Density of Wood

Formula for density is given by

Density = Mass / Volume

Where

Volume = 0.00105 m³

Mass = 1260 g = 1260/100 = 1.260 kg

Density = 1.260 kg/0.00105 m³

Density of Wood = 1200 kg/m³

As Density of Wood ≥ Density of Salt water , the piece of Wood will not float.