Question

Determine the identity of a cube of metal that measures 1.2 cm on each side and has a mass of 15.4g.

Answer 1

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density 15.4 grams per 1.2³ cm³ ≅ 8.9 grams per cm³ 
Find the metal that has a density of approximately 8.9 g/cm³

Answer 2

Answer: The density of the cube of metal is $8.91g/cm^3$

Explanation:

To calculate the volume of cube, we use the formula:

$V=a^3$

where,

a = edge length of cube

Edge length of cube = 1.2 cm

Volume of cube = $(1.2)^3=1.728cm^3$

To calculate density of a substance, we use the equation:

$\text{Density}=\frac{\text{Mass}}{\text{Volume}}$

We are given:

Mass of cube = 15.4 g

Volume of cube = $1.728cm^3$

Putting values in above equation, we get:

$\text{Density}=\frac{15.4g}{1.728cm^3}=8.91g/cm^3$

Hence, the density of the cube of metal is $8.91g/cm^3$