the formula $s = sqrt{\frac{sa}{6}}$ gives the length of the side, s, of a cube with a surface area, sa. how…

the formula $s = sqrt{\frac{sa}{6}}$ gives the length of the side, s, of a cube with a surface area, sa. how much longer is the side of a cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters?\n$sqrt{30}-4sqrt{5}$ m\n$sqrt{30}-2sqrt{5}$ m\n$sqrt{10}$ m\n$2sqrt{15}$ m

the formula $s = sqrt{\frac{sa}{6}}$ gives the length of the side, s, of a cube with a surface area, sa. how much longer is the side of a cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters?\n$sqrt{30}-4sqrt{5}$ m\n$sqrt{30}-2sqrt{5}$ m\n$sqrt{10}$ m\n$2sqrt{15}$ m

Answer

Answer:

B. $\sqrt{30}-2\sqrt{5}\text{ m}$

Explanation:

Step1: Find side - length for SA = 180

Substitute SA = 180 into $s=\sqrt{\frac{SA}{6}}$. $s_1=\sqrt{\frac{180}{6}}=\sqrt{30}$

Step2: Find side - length for SA = 120

Substitute SA = 120 into $s=\sqrt{\frac{SA}{6}}$. $s_2=\sqrt{\frac{120}{6}}=\sqrt{20}=2\sqrt{5}$

Step3: Calculate the difference

Find the difference between $s_1$ and $s_2$. $s_1 - s_2=\sqrt{30}-2\sqrt{5}$