Mathematics
If a solid cube of side 16 cm is cut into eight identical cubes. The side of each cube is:
2 cm
4 cm
6 cm
8 cm
Mensuration
6 Likes
Answer
Given,
Side of the original cube = 16 cm
Let s be the side of each smaller cube.
As we know,
Volume of a cube = side3
Volume of the original cube = Volume of 8 identical cubes
⇒ (16)3 = 8 x s3
⇒ 4096 = 8 x s3
⇒ s3 =
⇒ s3 = 512
⇒ s =
⇒ s = 8 cm.
Hence, option 4 is the correct option.
Answered By
3 Likes
Related Questions
The radius of a sphere is 2r, then its volume is equal to :
πr3
4πr3
If the total surface area of a cube is 96 cm2, then the volume of cube is
8 cm3
512 cm3
64 cm3
27 cm3
The diameters of two solid spheres are in the ratio 5 : 7. The ratio between areas of their curved surfaces is :
5 : 7
7 : 5
49 : 25
25 : 49
The radius of a cylinder is doubled and its curved surface area is kept as same, the height of the cylinder is:
same
doubled
halved
none of these