if the length of each edge of a cube is doubled how many times does it's volume become? how many times does its surface area become
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Let be the length of cube = x
Volume of cube = x^3
when length of cube is doubled length = 2x
volume of cube will be = (2x)^3 = 8x^3
it increase by 8 times
Volume of cube = x^3
when length of cube is doubled length = 2x
volume of cube will be = (2x)^3 = 8x^3
it increase by 8 times
Answered by
6
Volume of a cube= (side)³= a³
When side is doubled,
Volume= (2a)³= 8a³
Thus volume increases 8 times.
Total Surface Area of a cube= 6(a)²=6a²
When side is doubled,
Total Surface area of the cube= 6(2a)²= 6×4a²=24a².
Thus, surface area increases 4 times.
Hope it helps! Please mark it as 'Brainliest'!
When side is doubled,
Volume= (2a)³= 8a³
Thus volume increases 8 times.
Total Surface Area of a cube= 6(a)²=6a²
When side is doubled,
Total Surface area of the cube= 6(2a)²= 6×4a²=24a².
Thus, surface area increases 4 times.
Hope it helps! Please mark it as 'Brainliest'!
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