Question

A block of wood has mass 4kg, what is the density of the wood if the mass of water is 3kg and its volume is half that of the block of the block of wood ?

Answer 1

The density of the wood is calculated by finding its volume based on the known mass and density of water, which is then used to determine the wood's density using its known mass. The density of the wood is found to be 0.67 g/cm³.

Step-by-step explanation:

To calculate the density of the wood, we must first find its volume. Knowing that the mass of water is 3 kg and its volume is half that of the wood block, we can calculate the volume of the wood. Since the density of water is 1,000 kg/m³ (1 g/cm³), and using the formula density = mass/volume, we find that the volume of 3 kg of water is 3,000 cm³ (3 kg / 1,000 kg/m³). The wood's volume, being twice that, is 6,000 cm³. To find the wood's density, we can then use the formula with the given mass of the wood block (4 kg) and its volume (6,000 cm³), so the density is 0.67 g/cm³ (4 kg / 6,000 cm³).

Answer 2

M1(mass of wood) = 4 kg
M2(mass of water) = 3 kg
V1(volume of wood) = 2 * V2(volume of water )

Density = mass/volume ======= volume = mass/density
Density of water is 1 kg/m3
V2 = M2/density of water
V2 = 3 kg/m3/1kg/m3
V2 = 3 m3

V1(volume of wood) = 2 * V2
V1 = 2 * 3m3
V1 = 6m3

Density of wood = M1 ( mass of wood)/ V1(volume of wood)
Density of wood = 4 kg/ 6m3 = 2/3 kg/m3