Find the lateral surface area of cube ,if its diagonal is root 15 cm.
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Step-by-step explanation
Given,
The length of the diagonal of a cube=√15
Find :To find the lateral surface area of the cube
solution:
Let a be the side of the cube,then the length of the diagonal is defined as √3a
Hence
√3a=√15
a=√15/√3
The lateral surface area of cube is 4a²substitute the value of as follows;
=4a²
=4=(√15/3)²
=4x15/3
=20 cm²
hope it's help helpful,
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