2010008704 | math4u.vsb.cz

SubArea:

Level:

Project ID:

2010008704

Source Problem:

Accepted:

0

Clonable:

1

Easy:

0

A cube

A B C D E F G H

with an edge length of

3

is placed in a coordinate system (see the picture). Find the distance between parallel planes

ρ

and

σ

, where

ρ

is passing through

D

,

E

and

G

and

σ

is passing through

A

,

C

and

F

.

| ρ σ | = \sqrt{3}

| ρ σ | = \frac{2 \sqrt{3}}{3}

| ρ σ | = \frac{3 \sqrt{3}}{2}

| ρ σ | = \frac{4 \sqrt{3}}{3}