A cup has a height of 6.00 inches. How many centimeters is this?

(Note: 1 in [tex]$=2.54 cm$[/tex])

A. [tex]$12.1 cm$[/tex]
B. [tex]$15.2 cm$[/tex]
C. [tex]$8.20 cm$[/tex]
D. [tex]$2.36 cm$[/tex]



Answer :

To convert the height of the cup from inches to centimeters, we need to use the given conversion factor, which is 1 inch being equivalent to 2.54 centimeters.

Here are the steps to solve this problem:

1. Identify the given height in inches: The height of the cup is 6.00 inches.
2. Identify the conversion factor: 1 inch is equal to 2.54 centimeters.
3. Multiply the height in inches by the conversion factor:
[tex]\[ \text{Height in centimeters} = \text{Height in inches} \times \text{Conversion factor} \][/tex]
So,
[tex]\[ \text{Height in centimeters} = 6.00 \, \text{inches} \times 2.54 \, \text{cm/inch} \][/tex]

By performing this multiplication, we find the height in centimeters:

[tex]\[ 6.00 \times 2.54 = 15.24 \, \text{cm} \][/tex]

Thus, the height of the cup in centimeters is \( 15.24 \) cm.

Therefore, the correct answer is:

B. [tex]\( 15.2 \, \text{cm} \)[/tex]