2 Answers

Siarhei Fedartsou · Answer 1 · 2020-08-19T16:51:55+0000

Answer:

$2√(2)\ ft\ longer$

Explanation:

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

$\displaystyle s=\sqrt{(A)/(6)}$

We have two different cubes with areas 1,200 square inches and 768 square inches. Let's compute their side lengths

$\displaystyle s_1=\sqrt{(1,200)/(6)}=√(200)$

$\displaystyle s_1=10√(2)\ ft$

$\displaystyle s_2=\sqrt{(768)/(6)}=√(128)$

$\displaystyle s_2=8√(2) ft$

The difference between them is

$10√(2)\ ft-8√(2)\ ft=2√(2)\ ft\approx 2.83\ ft$

The side of the cube with area 1,200 square inches is
$2√(2)\ ft$ longer then the side of the cube with area 768 square inches

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