Question

I have two objects – Object A, and Object B. Both weigh 225 grams. Both are hidden in the boxes below. If object A has a density of 5 g /1 cm3, and object B has a density of 10 g /1 cm3, then describe the volume of object B compared to object A!

Answer 1

Taking into account the definition of density, the volume of B is larger compared to the volume of A.

Definition of density

Density is defined as the property that matter has to compress into a given space and is a quantity that allows us to measure the amount of mass in a certain volume of a substance.

The expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:

density= mass÷ volume

Volume of each object

In this case, you know that:

• Density of object A= 5 g/mL
• Density of object  B= 10 g/mL
• Mass of object A= 225 g
• Mass of object B= 225 g

Replacing in the definition of density:

• Object A: 5 g/mL= 225 g÷ volume
• Object B: 10 g/mL= 225 g÷ volume

Solving:

• Object A: 5 g/mL×volume= 225 g → volume= 225 g÷ 5 g/mL → volume= 45 mL
• Object B: 10 g/mL×volume= 225 g → volume= 225 g÷ 10 g/mL → volume= 22.5 mL

In summary, the volume of B is larger compared to the volume of A.

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