cube problem 3:
A cube has a volume of 110.592 cm³
a) calculate the edge length
b) calculate the face and body diagonale
answer:
a) answer edge length:
V = el³
110.592 = el³ / ³√
el = 4.8 cm
A: The edge length is 4.8 cm.
b) answer face and body diagonale:
face diagonale 1, 2, 3 = a * √2
face diagonale 1,2,3, = 4.8 * √2
face diagonale 1,2,3 = 6.79 cm
body diagonale = a * √3
body diagonale = 4.8 * √3
body diagonale = 8.31 cm
A: The face diagonale is 6.79 cm and the body diagonale is 8.31 cm.