Question

Fie cubul ABCDA'B'C'D', cu AB = 4 cm. Calculati:

A(A, (BCD));
b d(B, (DCC'));
c d(B, (ACC'));
d d(A'B, (CC'D'));
e d(AA', (BCC'));
f d(BB', (ACC')).

Answer 1

To calculate the given distances, add up the lengths of the corresponding sides of the cube.

Step-by-step explanation:

To calculate the given distances:

1. a) d(A, (BCD)) = AB + BC + CD + DA = 4 + 4 + 4 + 4 = 16 cm
2. b) d(B, (DCC')) = BC + CC' = 4 + 4 = 8 cm
3. c) d(B, (ACC')) = AB + AC + CC' = 4 + 4 + 4 = 12 cm
4. d) d(A'B, (CC'D')) = A'C + AC + CC' + C'D' = 4 + 4 + 4 + 4 = 16 cm
5. e) d(AA', (BCC')) = AB + BC + CC' = 4 + 4 + 4 = 12 cm
6. f) d(BB', (ACC')) = AB + AC + CC' = 4 + 4 + 4 = 12 cm