Question

theatre crew fernanda oversees painting props for a theatre production. she needs to create a cube that will be used as a prop by the actors. she has enough paint to cover 5 square yards. the formula $s = sqrt{\frac{a}{6}}$ gives the longest side length s in yards of a cubic prop fernanda can make, where a is the surface area to be covered with paint. what is the longest side length of a cube fernanda could make and not have to purchase any more paint? round to the nearest tenth of a yard.

Explanation:

Step1: Identify the value of A

The surface - area A she can cover is 5 square yards.

Step2: Substitute A into the formula

The formula for the side - length s of a cube is $s=\sqrt{\frac{A}{6}}$. Substitute A = 5 into the formula: $s=\sqrt{\frac{5}{6}}$.

Step3: Calculate the value of s

First, calculate $\frac{5}{6}\approx0.8333$. Then, $s=\sqrt{0.8333}\approx0.91287$.

Step4: Round to the nearest tenth

Rounding 0.91287 to the nearest tenth gives 0.9.

Answer:

0.9