Question

Object A has a length of 3 cm, a width of 2 cm, and a height of 4 cm. Object B is dropped into a graduated cylinder. It displaces 19 mL of water. The volume of object A is:

A: greater than the volume of object B
B: less than the volume of object B
C: equal to the volume of object B

Answer 1

A: greater than the volume of object B

Explanation:

Based on the dimensions, the volume of object A is ...

(3 cm)(2 cm)(4 cm) = 24 cm³ = 24 mL

If object B displaces 19 mL of water, we presume that is its volume. Since 24 mL is more than 19 mL, we conclude ...

The volume of object A is greater than the volume of object B.

_____

Comment on density

We have presumed that object B is completely submerged. If it is not, then the relative volumes will depend on the densities. If the density of object B is less than about (19/24) g/mL, its volume may very well be larger than that of object A.

Answer 2

A: greater than the volume of object B

Step-by-step explanation:

Based on the dimensions, the volume of object A is ...

(3 cm)(2 cm)(4 cm) = 24 cm³ = 24 mL

If object B displaces 19 mL of water, we presume that is its volume. Since 24 mL is more than 19 mL, we conclude ...

The volume of object A is greater than the volume of object B.

_____

Comment on density

We have presumed that object B is completely submerged. If it is not, then the relative volumes will depend on the densities. If the density of object B is less than about (19/24) g/mL, its volume may very well be larger than that of object A.