A rectangular wooden block, 22 cm x 13.2 cm x 4.4 cm, has a mass of 1562.0 g. The density of the wood in kg/m 3 is:

1222.45 Kg/m³

Explanation:

The following data were obtained from the question:

Dimension of rectangular block = 22 cm x 13.2 cm x 4.4 cm

Mass (m) = 1562.0 g

Density (D) =?

Next, we shall determine the volume of the rectangular block.

This is illustrated below:

Volume = length x breadth x height

V = 22 cm x 13.2 cm x 4.4 cm

V = 1277.76 cm³

Next, we shall convert 1277.76 cm³ to m³.

This can be obtained as follow:

1 cm³ = 1×10¯⁶ m³

Therefore,

1277.76 cm³ = 1277.76 × 1×10¯⁶

1277.76 cm³ = 1.27776×10¯³ m³

Therefore, 1277.76 cm³ is equivalent to 1.27776×10¯³ m³.

Next, we shall convert 1562.0 g to kg. This can be obtained as follow:

1000 g = 1 kg

Therefore,

1562.0 g = 1562/1000 = 1.562 kg

Therefore, 1562.0 g is equivalent to 1.562 Kg.

Finally, we shall determine the density of rectangular block as follow:

Volume = 1.27776×10¯³ m³.

Mass = 1.562 Kg.

Density =?

Density = mass /volume

Density = 1.562 / 1.27776×10¯³

Density = 1222.45 Kg/m³

Therefore, the density of rectangular block is 1222.45 Kg/m³