Question
Download Solution PDFThe space diagonal of a cube measures 8√3 cm. What is the volume of the cube?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The space diagonal of a cube = 8√3 cm
Formula used:
Diagonal of cube = √3a
Volume of cube = a3
Calculation:
According to the question
⇒ √3a = 8√3 cm
⇒ a = 8 cm
Now,
Volume of the cube = (8)3
⇒ 8 × 8 × 8 = 512 cm3
∴ The volume of the cube is 512 cm3
Last updated on Jul 10, 2025
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