Question

1. higher order thinking dion has a pizza with a diameter of 10$\frac{1}{3}$ in. is the square box shown big enough to fit the pizza inside? justify your answer.

Explanation:

Step1: Convert the mixed - number diameter to decimal

The diameter of the pizza is $10\frac{1}{3}$ inches. We convert $10\frac{1}{3}$ to a decimal. $10\frac{1}{3}=10 + \frac{1}{3}=10+0.\overline{3}\approx10.33$ inches.

Step2: Compare the diameter of the pizza with the side - length of the box

The side - length of the square box is $10.38$ inches. Since $10.38>10.33$, the side - length of the box is greater than the diameter of the pizza.

Answer:

Yes, the square box is big enough to fit the pizza inside because the side - length of the box ($10.38$ inches) is greater than the diameter of the pizza ($10\frac{1}{3}\approx10.33$ inches).