The edge of solid cube is 6cm how many cube of 2cm edgee can be formed from this cubes
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Volume of cube of side 6 cm = 6 x 6 x 6 = 216 cm³
Volume of cube with side 2 cm = 2 x 2 x 2 = 8 cm³
Number of cubes that can be obtained = 216/8 = 27
Hence, number of required cubes = 27
Volume of cube with side 2 cm = 2 x 2 x 2 = 8 cm³
Number of cubes that can be obtained = 216/8 = 27
Hence, number of required cubes = 27
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Given :
• The edge of the cube(a) = 6cm.
• Edge of the one cube among all the identical cubes which can be formed from the given cube(b) = 2cm.
Required to find:
• Number of cubes with edge 2cm that can be formed from the cube with edge 6cm.
Solution:
Let the number of cubes be n.
Volume of a cube with edge 'x' is given by x³.
• so the volume of cube with edge 6cm is 216.
• volume of one cube with edge 2cm is 8.
• volume of n identical cubes that can be formed from 6cm cube is given by 8n.
• we know that,
Volume of an object cannot be altered when it change its shape or formed into many pieces.
• hence,
8n = 216
n = 27.
Result :
27 cubes of edge 2cm can be formed from a cube of edge 6cm
• The edge of the cube(a) = 6cm.
• Edge of the one cube among all the identical cubes which can be formed from the given cube(b) = 2cm.
Required to find:
• Number of cubes with edge 2cm that can be formed from the cube with edge 6cm.
Solution:
Let the number of cubes be n.
Volume of a cube with edge 'x' is given by x³.
• so the volume of cube with edge 6cm is 216.
• volume of one cube with edge 2cm is 8.
• volume of n identical cubes that can be formed from 6cm cube is given by 8n.
• we know that,
Volume of an object cannot be altered when it change its shape or formed into many pieces.
• hence,
8n = 216
n = 27.
Result :
27 cubes of edge 2cm can be formed from a cube of edge 6cm
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