Question

What is the length of a diagonal of a cube with a side length of 10 cm?

Answer 1

Answer:

The diagonal of the cube is 10

First, find diagonal of base:

let d = diagonal of base

then

d^2 = 10^2 + 10^2

d^2 = 100 + 100

d^2 = 200

d = sqrt(200)

.

Now, find diagonal of cube

let x = diagonal of cube

x^2 = [sqrt(200)]^2 + 10^2

x^2 = 200 + 100

x^2 = 300

x = sqrt(300)

x = sqrt(3*10*10)

x = 10*sqrt(3)

x = 17.32 cm

Answer 2

Answer:

h²=b²+p

h²=10²+10²

h²=100+100

h²=200

$h \: = \: 10 \sqrt{2}$

$diagnol = 10 \sqrt{2} \: cm$

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