Question
Download Solution PDFThe surface area of a cube is 864 cm2. The volume of the cube is .
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The surface area of a cube is 864 cm2.
Concept used:
1. Surface area of a cube = 6 × (Side)2
2. Volume of a cube = (Side)3
Calculation:
Let the measure of each side of the cube be A cm.
According to the question,
6A2 = 864
⇒ A2 = 144
⇒ A = 12
Now, the volume of the cube = 123 = 1728 cm3
∴The volume of the cube is 1728 cm3.
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