Question #185b5

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Answer 1 · 2015-01-30T11:14:19

Well, the formula you've used for density is wrong. Density equals mass divided by volume, not multiplied like you show in the question.

$ρ = \frac{m}{V}$ $rho = m/V$

I assume the three dimensions of the box (it's acutally a reactangular prism, to be precise) are expressed in mm. Indeed the volume of this box is

$V = A \cdot B \cdot C = 81 mm \cdot 57 mm \cdot 43 mm$ $V = A * B * C = "81 mm" * "57 mm" * "43 mm"$

$V = {198531 mm}^{3}$ $V = "198531 mm"^3$

This means that the mass of the part is

$m = ρ \cdot V = 0.0079$ $m = rho * V = 0.0079$ $\frac{g}{{mm}^{3}} \cdot {198531 mm}^{3} = 1568.4 g$ $"g"/"mm"^3 * "198531 mm"^3 = "1568.4 g"$

If you want the answer rounded to two sig figs, the mass is

$m = 1600 g$ $m = "1600 g"$ , or $m = 1.6 kg$ $m = "1.6 kg"$