Question

Use metric conversion factors to solve each of the following problems:

a.If a student is 175 cm tall, how tall is the student in meters?

b. A cooler has a volume of 5000 mL. What is the capacity of the cooler in liters?

c. A hummingbird has a mass of 0.0055 kg. What is the mass, in grams, of the hummingbird?

d. A balloon has a volume of 3500 cm³. What is the volume in liters?

Short answer

a. 1.75 m

b. 5 L

c. 5.5 g

d. 3.5 L

Step-by-step solution

Part (a) Given Information

A student is 175 cm tall.

Part (a) Explanation

If a student is 175 cm tall, then its height in meters can be determined by following the unit conversion method.

$1m=100cm$

So,

$175cm\times \frac{1m}{100cm}=1.75m$

Thus, a student is 1.75 m tall.

Part (b) Given Information

A cooler has a volume of 5000 mL.

Part (b) Explanation

A cooler has a volume of 5000 mL, in order to determine the cooler's capacity in L we will follow a unit conversion method.

$1L=1000mL$

So,

$5000mL\times \frac{1L}{1000mL}=5L$

Thus, the volume of a cooler is 5 L.

Part (c) Given Information

A hummingbird has a mass of 0.0055 kg.

Part (c) Explanation

A hummingbird has a mass of 0.0055 kg. In order to determine the mass of this bird in grams, we will follow the unit conversion method.

$1Kg=1000g$

So,

$0.0055Kg\times \frac{1000g}{1Kg}=5.5g$

Thus, the mass of the hummingbird is 5.5 g.

Part (d) Given Information

A balloon has a volume of 3500 cm³.

Part (d) Explanation

A balloon has a volume of 3500 cm³. In order to determine the volume of the balloon in liters, we will follow the unit conversion method.

$1L=1000c{m}^3$

So,

$3500c{m}^3\times \frac{1L}{1000c{m}^3}=3.5L$

Thus, the volume of a ballon is 3.5 L.