Answer:
192√3 cm
Now, Volume of cube = (4√3)3 = 192√3 cm
Step-by-step explanation:
Given:
Diagonal of cube = 12
Formula used:
Volume of cube = (side)3
Diagonal of a cube = side × √3
Calculation:
According to the question,
Diagonal = side × √3
⇒ 12 = side × √3
⇒ 4 × 3 = side × √3
⇒ 4 × (√3)2 = side × √3
⇒ side = 4√3 cm
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Verified answer
Answer:
192√3 cm
Now, Volume of cube = (4√3)3 = 192√3 cm
Step-by-step explanation:
Given:
Diagonal of cube = 12
Formula used:
Volume of cube = (side)3
Diagonal of a cube = side × √3
Calculation:
According to the question,
Diagonal = side × √3
⇒ 12 = side × √3
⇒ 4 × 3 = side × √3
⇒ 4 × (√3)2 = side × √3
⇒ side = 4√3 cm
Now, Volume of cube = (4√3)3 = 192√3 cm
Answer:
192√3 cm
Step-by-step explanation:
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