ACT Math · Ratios, rates, and percents

A metal block has a mass of 540 grams and a volume of 60 cubic centimeters. What is its density, in grams per cubic centimeter?

A metal block has a mass of 540 grams and a volume of 60 cubic centimeters. What is its density, in grams per cubic centimeter?

Answer and explanation

Answer: G: 9

Density is mass divided by volume: 540 g60 cm3=9\frac{540\ \text{g}}{60\ \text{cm}^3}=9 grams per cubic centimeter, choice G. Check: 9⋅60=5409\cdot60=540. Choice F (0.110.11) divides in the wrong order, 60540\frac{60}{540}, which would be volume per gram. Choice J (480480) subtracts the two numbers instead of dividing. Choice H (6060) is the volume itself. The units show the right operation: grams per cubic centimeter means grams divided by cubic centimeters. Density tells how tightly the mass is packed into the space.

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