an open box is in shape of a cube A diagonal in the face of a cube is 7 metre long the lateral surface area of the box is
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Given : an open box is in shape of a cube
diagonal in the face of a cube is 7 metre long
To Find : lateral surface area of the box is
Solution:
Let say Edge length of Cube = a m
Then Diagonal length = a√2 m
a√2 = 7m
=> a = 7/√2 m
lateral surface area of the box = 4a²
= 4(7/√2)²
= 98 m²
Total Surface area = 5a² as box is open from top
= 5(7/√2)²
= 122.5 m²
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