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What is the density of an object that has a mass of 26.8 g and a volume of [tex]$108 \, ft^3$[/tex]?

A. [tex]0.2481 \, g/ft^3[/tex]
B. [tex]4.03 \, ft^3/g[/tex]
C. [tex]2894.4 \, g/ft^3[/tex]
D. [tex]0.00035 \, g/ft^3[/tex]

Sagot :

GinnyAnswer
To determine the density of an object, you use the formula:

[tex]\[ \text{Density} = \frac{\text{Mass}}{\text{Volume}} \][/tex]

Given:
- Mass ([tex]\( m \)[/tex]) = 26.8 grams
- Volume ([tex]\( V \)[/tex]) = 108 cubic feet

Plug these values into the formula:

[tex]\[ \text{Density} = \frac{26.8 \text{ grams}}{108 \text{ cubic feet}} \][/tex]

This calculation yields a result of roughly [tex]\( 0.2481 \text{ grams per cubic foot} \)[/tex].

Therefore, the density of the object is [tex]\( 0.2481 \text{ grams per cubic foot} \)[/tex].

Among the given options, the correct answer is:

[tex]\[ 0.2481 \, \text{g/ft}^3 \][/tex]
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