The density of granite is about 2.75 grams per cubic centimeter. Suppose you have a granite countertop for a kitchen that is 1 meter wide, 3 meters long, and 4 centimeters thick. Which of the following equations will give you its mass, in kilograms?

a. 2.75 g/cm^3 * 1m * 3m x (100cm/1m) ^2 * 4cm * 1kg/1000g

b. 2.75 g^3/cm^3 * 1m * 3m * (100cm/1m) ^2 * 4cm * (1kg/1000g) ^3

c. 2.75 g/cm^3 * 1m * 3m * 4cm * 1000g/1kg

d. 2.75 g/cm^3 * 1m * 3m * 4cm * 1kg/1000g

e. 2.75 g/cm^3 * 1m * 3m * (1m/100cm) ^2 * 4cm * 1kg/1000g

f. 2.75 g/cm^3 * 1m * 3m * 4cm * 1m/100 cm * 1kg/1000g

Question

Mathematics

Scott Shea

28 October, 01:52

The density of granite is about 2.75 grams per cubic centimeter. Suppose you have a granite countertop for a kitchen that is 1 meter wide, 3 meters long, and 4 centimeters thick. Which of the following equations will give you its mass, in kilograms?

a. 2.75 g/cm^3 * 1m * 3m x (100cm/1m) ^2 * 4cm * 1kg/1000g

b. 2.75 g^3/cm^3 * 1m * 3m * (100cm/1m) ^2 * 4cm * (1kg/1000g) ^3

c. 2.75 g/cm^3 * 1m * 3m * 4cm * 1000g/1kg

d. 2.75 g/cm^3 * 1m * 3m * 4cm * 1kg/1000g

e. 2.75 g/cm^3 * 1m * 3m * (1m/100cm) ^2 * 4cm * 1kg/1000g

f. 2.75 g/cm^3 * 1m * 3m * 4cm * 1m/100 cm * 1kg/1000g

+4

Answers (1)

Know the Answer?

Kaitlyn Hutchinson · Answer 1

option d

Step-by-step explanation:

Data provided:

density = 2.75 g/cm³

Width, W = 1 m = 1 * 1000 cm

Length, L = 3 m = 3 * 1000 cm

Thickness, t = 4 cm

now,

volume = L * W * t

= 1m * 3m * 4 cm

also,.

Mass = Density * Volume

or

Mass in grams = 2.75 g/cm³ * (1m * 3m * 4 cm)

Also,

1 kg = 1000 grams

or

1 gram = 1 / 1000 kg

Therefore,

Mass in Kg = 2.75 g/cm³ * (1m * 3m * 4 cm) * 1kg/1000g

Hence,

the correct answer is option d