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IceJOKER [234]
3 years ago
12

What is the mass of a magnesium block that measures 2.5cm x 3.5cm x 1.5cm?

Physics
2 answers:
lukranit [14]3 years ago
4 0

Answer: 22.8 g


Explanation:


1) density = mass / volume ⇒ mass = density × volume


2) density of magnesium = 1.74 g/cm³ (from internet)


3) volume of a block = length × width × depth

  volume of the magnesium block = 2.5cm × 3.5 cm × 1.5 cm = 13.125 cm³


4) mass of the magnesium block = 1.74 g/cm³ × 13.125 cm³ = 22.8375 g.


Rounding to 3 significant figures, mass = 22.8 g ← answer

antiseptic1488 [7]3 years ago
3 0

The mass of the magnesium block is found to be <u> 22.8 g.</u>

Density of a substance is defined as mass per unit volume.

Calculate the volume V of the magnesium block using the dimensions given in the problem.

V=(2.5cm)(3.5cm)(1.5cm)\\ =13.125cm^3

Magnesium has a density ρ of 1.74g/cm³. This can be taken from the standard tables.

Since density is mass per unit volume,

\rho=\frac{m}{V}

The mass of the block is therefore given by,

m=\rho V

Substitute  1.74g/cm³for  ρ and 13.125 cm³for V.

m=\rho V=(1.74g/cm^3)(13.125cm^3)=22.8375g

The mass of the magnesium block is found to be <u> 22.8 g.</u>

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