Question

The formula s = StartRoot StartFraction S A Over 6 EndFraction EndRoot 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? StartRoot 5 EndRoot m StartRoot 35 EndRoot m StartRoot 210 EndRoot m 7 StartRoot 5 EndRoot m

Answer 1

Answer:

its b

Step-by-step explanation:

edge 2020

Answer 2

Answer:

Step-by-step explanation:

a surface area of 480 square meters than a cube with the surface area of 270 square meters?

Area Of A Cube

Suppose a cube with side length s, the area of one side is

$A_s=s^2$

Since the cube has 6 sides, the total area is

$A=6A_s=6s^2$

But if we have the area, we can solve the above formula for s to get

$A=6s^2$

$\displaystyle s=\sqrt{\frac{A}{6}}$

We have two different cubes with areas 480 square meters and  270 square meters .

Let's compute their side lengths

$\displaystyle s_1=\sqrt{\frac{480}{6}}\\\\=\sqrt{80}\\\\\displaystyle s_1=4\sqrt{5}\ ft\\\\\displaystyle s_2=\sqrt{\frac{270}{6}}\\\\=\sqrt{45}\\\\ \displaystyle s_2=3\sqrt{5} ft$

The difference between them is

$4\sqrt{5}\ ft-3\sqrt{5}\ ft=1\sqrt{5}\ \texttt {meters}$