Question

One component of a metal structure consists of a solid cube with an edge length of 0.325m. The alloy used to make the cube has a density of 8470 kg/m³. Find the cube's mass (m).

A) 91.17 kg
B) 0.00187 kg
C) 43.25 kg
D) 0.00381 kg

Answer 1

Using the formula Density = Mass/Volume, with the given density of 8470 kg/m³ and the edge length of 0.325m, the mass of the cube is calculated to be approximately 290.75 kg. Since this result does not match any of the provided answer options, there may be a typo in the question or answer choices.

Step-by-step explanation:

To find the mass of the cube, we need to use the formula density equals mass divided by volume (Density = Mass/Volume). Given that the density of the alloy is 8470 kg/m³ and the edge length of the cube is 0.325m, we first calculate the volume of the cube by raising the edge length to the power of three (Volume = edge length³).

Volume = (0.325m)³ = 0.03430625 m³

Next, we use the rearranged formula to solve for mass (Mass = Density × Volume):

Mass = 8470 kg/m³ × 0.03430625 m³ ≈ 290.75 kg

However, none of the provided answer options match this calculation. It's possible there could be a typo in the set of answer options or a miscalculation in the cube's mass.