Question

The square on the diagonal of a cube has an area of 192cm². Calculate (i) the side of the cube in cm (ii) the total surface area of the cube in cm²​

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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

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Answer 2

Answer:

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