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Question
The volume of a cube is 2744 cm2. Its surface area is
Options
196 cm2
1176 cm2
784 cm2
588 cm2
Solution
1176 cm2
Let the edge of the cube be a cm.
Then, volume of the cube = a3
Or,
a3 = (23 × 73)
a = 2 × 7
a = 14 cm
Therefore, surface area of the cube `= 6"a"^2`
= (6 × 14 × 14) cm2
= 1176 cm2
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Assertion (A)
The curved surface area of a cone of base radius 3 cm and height 4 cm is 15π cm2.\
Reason (R)
Volume of a cone = πr2h
- Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).
- Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).
- Assertion (A) is true and Reason (R) is false.
- Assertion (A) is false and Reason (R) is true.
A running track has 2 semicircular ends of radius 63 m and two straight lengths. The perimeter of the track is 1000 m. Find each straight length.
A boy is cycling such that the wheels of the cycle are making 140 revolutions per hour. If the diameter of the wheel is 60 cm, calculate the speed in km/h with which the boy is cycling.
If the length of the diagonal of a cube is `5sqrt(3)` cm, find the total surface area.
Length of the diagonal of the cube = `square`
So, `square` = `5sqrt(3)`
⇒ Side = `square`
Total surface area of cube = `square`
= `square` × `square` × `square`
= `square` cm2
Hence, the total surface area is `square`.
