cube problem 1:
A cube has an edge length of 8.5 cm
a) calculate the surface area
b) calculate the volume
answer:
a) answer surface area:
A = 6 * el² (6 * el * el)
A = 6 * 8.5² (6 * 8.5 * 8.5)
A = 433.5 cm²
A: The surface area is 433.5 cm².
b) answer volume:
V = el³ (el * el * el)
V = 8.5³ (8.5 * 8.5 * 8.5)
V = 614.125 cm³
A: The volume is 614.125 cm³.
110.592 = el³ / ³√
el = 4.8 cm
A: The edge length is 4.8 cm.
c) 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 * √3body 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.