Answer: The small coffee cup holds approximately 7 fluid ounces.
Step-by-step explanation:
Since we have given that
Height of small cup = 4.2 inches
Height of large cup = 5 inches
Since volume of large coffee cup = 12 fluid ounces.
We need to find the volume of small cup say. x.
According to ratio proportionality theorem, we get that
[tex](\dfrac{4.2}{5})^3=\dfrac{x}{12}\\\\\dfrac{4.2^3}{5^3}=\dfrac{x}{12}\\\\\dfrac{889.056}{125}=x\\\\7.11=x[/tex]
Hence, the small coffee cup holds approximately 7 fluid ounces.