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1. A student measured the length, width and height of a metal block to be 2.52 i

ID: 714719 • Letter: 1

Question

1. A student measured the length, width and height of a metal block to be 2.52 inches by 3.25 inches by 0.69 inches. The mass was then determined to be 1.051 kg. What is the density of the metal in g/mL? 2. How many cubic centimeters are in 1.00 cubic meter? 3. How many square meters are in 1.00 square meters? 1. A student measured the length, width and height of a metal block to be 2.52 inches by 3.25 inches by 0.69 inches. The mass was then determined to be 1.051 kg. What is the density of the metal in g/mL? 2. How many cubic centimeters are in 1.00 cubic meter? 3. How many square meters are in 1.00 square meters? 2. How many cubic centimeters are in 1.00 cubic meter? 3. How many square meters are in 1.00 square meters?

Explanation / Answer

1. Assuming the metal shape is cuboidal,

Volume of metal = length x breadth x height

Volume of metal = 2.52 x 3.25 x 0.69

Volume of metal = 5.6511 inch3

1 inch = 2.54 cm

1 inch3 = 16.387 cm3

1 cm3 = 1 mL

1 inch3 = 16.387 mL

Volume of metal = 5.6511 x 16.387

Volume of metal = 92.605 mL

Mass of metal = 1.051 kg = 1051 g

Density of metal = Mass / Volume

Density of metal = 1051 / 92.605

Density of metal = 11.35 g/mL

2. 1 m = 100 cm

1 m3 = 106 cm3

3. 1 m = 100 cm

1 m2 = 104 cm2