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10.

17.0cm
23.0cm
4,00cm
A 38.6 kg marble slab is shown above. What is its density? Give your
answer to the nearest tenth.
g/cm3
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2 Answers

3 votes

The density of the marble with a mass of 38.6 kg, given the dimension from the question is 24.7 g/cm³

How to calculate the density of the marble?

Step 1: Calculate the volume of the marble slab. This is shown below:

  • Length of marble slab = 23 cm
  • Width of marble slab = 4 cm
  • Height of marble slab = 17 cm
  • Volume of marble slab =?

Volume of marble slab = Length × Width × height

= 23 × 4 × 17

= 1564 cm³

Step 2: Calculate the density of the marble slab. Details below:

  • Volume of marble slab = 1564 cm³
  • Mass of marble slab = 38.6 Kg = 38.6 × 1000 = 38600 g
  • Density of marble slab = ?

Density of marble slab = Mass of marble slab / Volume of marble slab

= 38600 / 1564

= 24.7 g/cm³

Complete question:

See attached photo

10. 17.0cm 23.0cm 4,00cm A 38.6 kg marble slab is shown above. What is its density-example-1
User Kwaw Annor
by
4.3k points
1 vote

Answer:

Density,
\rho=24.68\ g/cm^3

Step-by-step explanation:

Mass of a marble slab is 38.6 kg 38600 grams

The dimensions of the marble is 17 cm×23 cm×4 cm

We need to find its density. Mass per unit volume equals density. So,


\rho=(m)/(V)\\\\\rho=(m)/(lbh)\\\\\rho=(38600\ g)/((17* 23* 4)\ cm^3)\\\\\rho=24.68\ g/cm^3

So, the density of the marble slab is
24.68\ g/cm^3

User Wahkuna
by
4.3k points