Question

PLEASE HELP

Answer 1

Answer:

$(\sqrt{30}-2\sqrt{5})\ m$

Step-by-step explanation:

we know that

The length of the side, s, of a cube with a surface area, SA is equal to the formula

$s=\sqrt{\frac{SA}{6}}$

Step 1

Find the length of the side, s, of a cube with a surface area of $180\ m^{2}$

we have

$SA=180\ m^{2}$

substitute in the formula

$s=\sqrt{\frac{180}{6}}$

$s=\sqrt{30}\ m$

Step 2

Find the length of the side, s, of a cube with a surface area of $120\ m^{2}$

we have

$SA=120\ m^{2}$

substitute in the formula

$s=\sqrt{\frac{120}{6}}$

$s=\sqrt{20}=2\sqrt{5}\ m$

Step 3

Find the difference of the length sides

$(\sqrt{30}-2\sqrt{5})\ m$

Answer 2

Sr (180/6) - sr (120/6) = sr (30) - sr (20)
= sr6×sr5 - sr4×sr5 = sr6×sr5 - 2×sr5
= sr30 - 2sr5