Question

the square on a diogonal of a cube has an area of 192cm². find(a) the length of its one side,abs(b) the total surface area of the cube​

Answer 1

Answer:

side of cube = 8 cm

total surface area = 384 cm²

Step-by-step explanation:

diagonal of cube = D

side of cube = S

D = S√3 (equation for diagonal of cube)

D² = 192cm²

∴192 = (S√3)²

192 = S² × 3

S² = 64

S = √64 = 8

total surface area = 6S²

total surface area = 6 × 8² = 6 × 64

total surface area = 384cm²