The length of the side of a cube having a density of 12.6 g/ml and a mass of 7.65 g is ________ cm.
A)3.20
B)0.847
C)1.02
D)0.584
E)1.32

Question

Quizplus · Accepted Answer

The density of the cube is given as 12.6 g/ml, and the mass is given as 7.65 g. We can use the formula for density, which is density = mass/volume.

Let's assume that the length of the side of the cube is "x". Since it is a cube, the volume will be x^3.

So, we have:

12.6 g/ml = 7.65 g/(x^3)

Rearranging this equation, we get:

x^3 = 7.65 g/12.6 g/ml = 0.6071 ml

Taking the cube root of both sides, we get:

x = (0.6071 ml)^(1/3) = 0.847 cm

Therefore, the length of the side of the cube is 0.847 cm, which corresponds to choice B.

The Length of the Side of a Cube Having a Density