Question

Imagine a 10 kg chunk of aluminum (density = 2.7 g/cm3) and a 10 g chunk of iron (density = 7.9 g/cm3).

Which of the following is true?

A. The chunk of iron is more massive than the chunk of aluminum.
B. The chunk of aluminum's volume is smaller than the chunk of iron's volume.
C. The chunk of iron's volume is smaller than the chunk of aluminum's volume.
D. Both objects have the same volume.

Answer 1

The answer is C.
Hope this helps!!!

Answer 2

Answer: C. The chunk of iron's volume is smaller than the chunk of aluminum's volume.

Explanation:

Given: The mass of aluminum chunk = 10 kg

In grams , the mass of aluminum chunk = 1000 g [∵ 1 kg = 1000 g]

The mass of iron chunk =10 g

i.e The chunk of aluminum is more massive than the chunk of iron.

Density of Aluminum chunk =
`2.7\ g/cm^3`

Density of iron chunk =
`7.9\ g/cm^3`

The formula of volume is given by :-

`\text{Volume}=\frac{\text{Mass}}{\text{Density}}`

`\text{Volume of Aluminium chunk}=(1000)/(2.7)=370.37\ cm^3`

`\text{Volume of Iron chunk}=(10)/(7.9)\approx 1.27\ cm^3`

Clearly, The chunk of iron's volume is smaller than the chunk of aluminum's volume.