Find the total surface area , lateral surface area and the length of the diagonal of a cube who's edge is 3.2m
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Answer:
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It is given that each edge of a cube =9m
We know that
Volume of cube =a
3
By substituting the values
Volume of cube a
3
So we get
Volume of cube =729 m
3
We know that
Lateral surface area of cube =4a
2
By substituting the values
Lateral surface area of the cube =4×9
2
So we get
Lateral surface area of cube =4×81=214 m
2
We know that
Total surface area of cube =6a
2
By substituting the values
Total surface area of cube =6×9
2
So we get
Total surface area of cube =6×81=486 m
2
We know that
Diagonal of cube =√3a
By substituting the values
Diagonal of cube =1.73×9=15.57 m
Therefore, thew volume is 729 m
3
, lettral surface area is 324 m
2
, total surface area is 486 m
2
and the diagonal of cube is 15.57 m
Step-by-step explanation:
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