High School

A block of metal has dimensions of 2.00 x 5.50 x 1.25 cm and a mass of 37.1 grams. What is its density?

A) 0.372 g/cm\(^3\)
B) 2.69 g/cm\(^3\)
C) 512 g/cm\(^3\)
D) 4.24 g/cm\(^3\)

Answer :

Final answer:

The density of the metal block is calculated by dividing its mass (37.1 grams) by its volume (13.75 cm³), which yields a density of 2.69 g/cm³.

Explanation:

The question asks for the density of a block of metal with given dimensions and mass. Density is calculated using the formula density = mass/volume. The volume of the metal block is found by multiplying its dimensions, which gives volume = 2.00 cm x 5.50 cm x 1.25 cm = 13.75 cm³. The mass of the block is given as 37.1 grams. Using these values, the density of the metal is calculated as:

density = mass/volume = 37.1 g/13.75 cm³ = 2.69 g/cm³

Therefore, the correct answer is B) 2.69 g/cm³.