Answer:
4.32 kg
Explanation:
You want to know the mass of 1 plank if 450 bundles of 1835 planks each have a total mass of 3,563,420 kg.
The mass of one plank is the total mass divided by the number of planks. The number of planks is the product of the number of bundles and the number in each bundle.
3653420 kg/(435 bundles×1835 planks/bundle) ≈ 4.32 kg/plank
The mass of one plank is about 4.32 kg.
The total number of planks is calculated by multiplying the number of bundles by the number of planks per bundle, and then the mass of one plank is found by dividing the total mass of all planks by the total number of planks. The mass of one plank to three significant figures is 4.31 kg.
To calculate the mass of one plank, we first need to determine the total number of planks. This is done by multiplying the number of bundles by the number of planks in each bundle. There are 450 bundles, and each bundle contains 1835 planks.
So, the total number of planks is 450 bundles × 1835 planks per bundle = 826,500 planks in total.
Next, to find the mass of one plank, we will divide the total mass of all the planks by the total number of planks.
The total mass of all planks is 3,563,420 kg. For one plank, the mass will be:
Mass of one plank = Total mass of all planks / Total number of planks
Mass of one plank = 3,563,420 kg / 826,500 planks
Mass of one plank = 4.314 kg (to 3 s.f.)
Therefore, the mass of one individual plank, rounded to three significant figures, is 4.31 kg.