If a cube fits exactly in a cylinder with height h, then the volume of the cube is _________ and surface area of the cube is __________

Solution:

If a cube exactly fits a cylinder of height h implies that side of the cube is ‘h’

The volume of the cube is = h³

The surface area of the cube is = 6h²

✦ Try This: If a cylinder of radius ‘r’ exactly fits inside a cube then the volume of the cube is _________ and surface area of the cube is __________

If a cylinder of radius ‘r’ exactly fits a cube then the side of the cube is ‘2r’

The volume of the cube is = (2r)³ = 8r³

The surface area of the cube is = 6(2r)² = 24r²

If a cylinder of radius ‘r’ exactly fits inside a cube then the volume of the cube is 8r³ and surface area of the cube is 24r².

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 11

NCERT Exemplar Class 8 Maths Chapter 11 Problem 33

If a cube fits exactly in a cylinder with height h, then the volume of the cube is _________ and surface area of the cube is __________

Summary:

If a cube fits exactly in a cylinder with height h, then the volume of the cube is h³ and surface area of the cube is 6h²

☛ Related Questions:

• A cube of side 5 cm is cut into 1 cm cubes. The percentage increase in volume after such cutting is . . . .
• The surface area of a cuboid formed by joining two cubes of side ‘a’ face to face is _________
• If the diagonals of a rhombus get doubled, then the area of the rhombus becomes ________ its origina . . . .