Question

17 mark for review
if a metal cube has an edge length of 6.0 centimeters and a mass of 1,857.6 grams,
what is the average density of the metal cube, in grams per cubic centimeter?
a 8.6
b 51.6
c 103.2
d 309.6

Explanation:

Step1: Calculate the volume of the cube

The volume formula for a cube is \(V = s^3\), where \(s\) is the edge - length. Given \(s = 6.0\) cm, then \(V=(6.0)^3=6.0\times6.0\times6.0 = 216\) \(cm^3\).

Step2: Calculate the density

The density formula is \(
ho=\frac{m}{V}\), where \(m\) is the mass and \(V\) is the volume. Given \(m = 1857.6\) grams and \(V = 216\) \(cm^3\), then \(
ho=\frac{1857.6}{216}\).

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Answer:

A. 8.6