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 1,200 square inches than a cube with the surface area of 768 square inches?\n$sqrt{2}$ in.\n$2sqrt{2}$ in.\n$4sqrt{2}$ in.\n$36sqrt{2}$ in.

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 1,200 square inches than a cube with the surface area of 768 square inches?\n$sqrt{2}$ in.\n$2sqrt{2}$ in.\n$4sqrt{2}$ in.\n$36sqrt{2}$ in.

Answer

Explanation:

Step1: Calculate side length for SA = 1200

Substitute SA = 1200 into $s=\sqrt{\frac{SA}{6}}$. $s_1=\sqrt{\frac{1200}{6}}=\sqrt{200}=10\sqrt{2}$

Step2: Calculate side length for SA = 768

Substitute SA = 768 into $s=\sqrt{\frac{SA}{6}}$. $s_2=\sqrt{\frac{768}{6}}=\sqrt{128}=8\sqrt{2}$

Step3: Find the difference

Find $s_1 - s_2$. $s_1 - s_2=10\sqrt{2}-8\sqrt{2}=2\sqrt{2}$

Answer:

$2\sqrt{2}$ in.