A sample of oak has a density of 807 kilograms percubic meter. The sample is in the shape of a cube,where each edge has a length of 0.90 meters. To thenearest whole number, what is the mass, inkilograms, of this sample
Question
A sample of oak has a density of 807 kilograms percubic meter. The sample is in the shape of a cube,where each edge has a length of 0.90 meters. To thenearest whole number, what is the mass, inkilograms, of this sample
Solution
To find the mass of the sample, we need to use the formula for density, which is mass divided by volume.
Step 1: Calculate the volume of the cube. The formula for the volume of a cube is side length cubed. In this case, each side of the cube is 0.90 meters, so the volume is 0.90^3 = 0.729 cubic meters.
Step 2: Use the density formula to find the mass. The formula is density = mass/volume. We can rearrange this to find mass = density * volume.
Step 3: Substitute the given values into the formula. The density is 807 kilograms per cubic meter and the volume is 0.729 cubic meters. So, the mass is 807 * 0.729 = 588.363 kilograms.
Step 4: Round to the nearest whole number. The mass of the sample is approximately 588 kilograms.
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