PLEASE HELP The formula 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…

Question

asked Jun 19, 2018 201k views

2 Answers

Rhigdon · Answer 1 · 2018-06-25T01:20:14+0000

Answer:

$(√(30)-2√(5))\ m$

Explanation:

we know that

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

$s=\sqrt{(SA)/(6)}$

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

$s=\sqrt{(180)/(6)}$

$s=√(30)\ m$

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

$s=\sqrt{(120)/(6)}$

$s=√(20)=2√(5)\ m$

Step 3

Find the difference of the length sides

$(√(30)-2√(5))\ m$