A sample of oak has a density of 807 kilograms per cubic meter. The sample is in the shape of a cube, where each edge has a length of 0.90 meters. To the nearest whole number, what is the mass, in kilograms, of this sample? (A) 588 (B) 726 (C) 897 (D) 1,107
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To find the mass of the oak sample, first calculate the volume of the cube. The volume \( V \) of a cube can be found using the formula: \[ V = \text{edge length}^3 \] Substituting the edge length: \[ V = 0.90 \, \text{m} \times 0.90 \, \text{m} \times 0.90 \, \text{m} = 0.729 \, \text{m}^3 \] Next, use the density to find the mass \( m \) using the formula: \[ m = \text{density} \times V \] Substituting the given density and the calculated volume: \[ m = 807 \, \text{kg/m}^3 \times 0.729 \, \text{m}^3 \approx 589.863 \, \text{kg} \] Rounding this to the nearest whole number gives you: **(A) 588**
