Question

Jackson is trying to find the density, in g/cm

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3
, of a block of wood. The block of wood is in the shape of a cuboid. He measures:

Length: 13.2 cm (correct to the nearest mm)
Width: 16.0 cm (correct to the nearest mm)
Height: 21.7 cm (correct to the nearest mm)
Mass: 1970 g (correct to the nearest 5g).
By considering bounds, work out the density of the wood. Give your answer to a suitable degree of accuracy. You must show all your working and give a reason for your final answer.

Answer 1

The density of the block of wood is 0.431 g/cm³.

Step-by-step explanation:

To find the density of the wood block, we need to divide its mass by its volume.

Given that the length is 13.2 cm, the width is 16.0 cm, and the height is 21.7 cm, we can calculate the volume of the block by multiplying these three dimensions: Volume = 13.2 cm x 16.0 cm x 21.7 cm = 4558.56 cm³.

Next, we divide the mass of the block, which is 1970 g, by the volume to get the density: Density = 1970 g / 4558.56 cm³ = 0.431 g/cm³.