The density of tungsten metal is 19.35 g/cm3.
A rectangular block of tungsten has a length of 8.20 cm , a width of 2.20 cm , and a height of 1.30 cm Using the correct number of significant figures, what is the mass of the block in kg ?

Respuesta :

Answer:

0.454 kg

Explanation:

The mass of the tungsten block can be found using the following steps:

Calculate the volume of the block:

Volume = length x width x height

Volume = 8.20 cm x 2.20 cm x 1.30 cm = 23.224 cm³

Convert the volume to cubic meters:

Volume = 23.224 cm³ x (1 m / 100 cm)³

Volume = 2.3224 x 10⁻⁵ m³

Calculate the mass of the block using the density:

Mass = density x volume

Mass = 19.35 g/cm³ x 2.3224 x 10⁻⁵ m³

Mass = 0.4477 g

Convert the mass to kilograms and round to the appropriate number of significant figures:

The least precise measurement has 3 significant figures (8.20 cm).

Therefore, the final answer should also have 3 significant figures.

Mass = 0.4477 g / 1000 g/kg

Mass ≈ 0.454 kg (rounded to 3 significant figures)

Therefore, the mass of the tungsten block is approximately 0.454 kg.