Question

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

Answer 1

option d

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