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 480 square meters than a cube with the surface area of 270 square meters?\n$sqrt{5}$ m\n$sqrt{35}$ m\n$sqrt{210}$ m\n$7sqrt{5}$ 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 480 square meters than a cube with the surface area of 270 square meters?\n$sqrt{5}$ m\n$sqrt{35}$ m\n$sqrt{210}$ m\n$7sqrt{5}$ m

Answer

Explanation:

Step1: Find side - length for $SA = 480$

Substitute $SA = 480$ into $s=\sqrt{\frac{SA}{6}}$. $s_1=\sqrt{\frac{480}{6}}=\sqrt{80}=4\sqrt{5}$

Step2: Find side - length for $SA = 270$

Substitute $SA = 270$ into $s=\sqrt{\frac{SA}{6}}$. $s_2=\sqrt{\frac{270}{6}}=\sqrt{45}=3\sqrt{5}$

Step3: Find the difference

Calculate $s_1 - s_2$. $s_1 - s_2=4\sqrt{5}-3\sqrt{5}=\sqrt{5}$

Answer:

$\sqrt{5}\text{ m}$