Mathematics
The volume of a cuboid is 448 cm3. Its height is 7 cm and the base is square. Then each side of the base is :
64 cm
16 cm
4 cm
8 cm
Surface Area, Volume, Capacity
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Answer
Given:
Volume of the cuboid = 448 cm3
Height of the cuboid = 7 cm
The base is square, meaning length = breadth.
Let a be the length of the cuboid.
As we know, the volume of cuboid = l x b x h.
Since the base is square, we can write:
⇒ a x a x 7 = 448
⇒ a2 x 7 = 448
⇒ a2 =
⇒ a2 = 64
⇒ a =
⇒ a = 8 cm
The each side of the base is 8 cm.
Hence, option 4 is the correct option.
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Statement 1: The volume of a right circular cylinder = Area of cross section (area of circle) x Distance between two circular parallel ends.
Statement 2: Lateral surface area of a closed cylinder is 2πr(r + h) cubic units.
Which of the following options is correct?
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.
Assertion (A) : The length, breadth and height of an open cuboid are 10 cm, 12 cm and 6 cm respectively. If the thickness is 1 cm, then internal dimensions are 8 cm, 10 cm and 5 cm respectively.
Reason (R) : If l, b and h are the external dimension of an open cuboid of thickness 'x', then its internal dimension are (l - 2x), (b - 2x) and (h - x) respectively.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
A is false, but R is true.