Edge of the larger cube = 32 cm
Volume of the larger cube = (32 cm)3 = 32768 cm3
Edge of the smaller cube = 4 cm
Volume of the smaller cube = (4 cm)3 = 64 cm3
Since the smaller cubes are cut from the larger cube, volume of all of them will be equal to that of the larger cube.
∴ Total number of smaller cubes × Volume of the smaller cube = Volume of the larger cube
⇒ Total number of smaller cubes = Volume of the larger cube ÷ Volume of the smaller cube
⇒ Total number of smaller cubes = 32768 ÷ 64 = 512
Thus, 512 smaller cubes can be cut from the larger one.
There are 64 such cubes.
You would get two rectangular prisms (half-cubes).
How about 27 whose cube root is 3 which is a rational whole number.
Assuming that the cubes are 1x1x1, there will be one thousand cubes in the larger cube.
a perfect cube
If you have one cube in the first solid than six cubes in the second solid and than fifteen cubes in the third solid, than you would get 215 cubes in the eighth solid.
There are 64 such cubes.
You cannot. And not all number cubes have the numbers 1-6 on them. For example, a doubling cube for backgammon.You cannot. And not all number cubes have the numbers 1-6 on them. For example, a doubling cube for backgammon.You cannot. And not all number cubes have the numbers 1-6 on them. For example, a doubling cube for backgammon.You cannot. And not all number cubes have the numbers 1-6 on them. For example, a doubling cube for backgammon.
no, 75 is not a cube. The small cubes are 0, 1,8,27,64,125,.. which are the cubes of 0,1,2,3,4, and 5 respectively.
1729 is the smallest number that can be expressed in two ways as the sum of two cubes.[12cube+9cube] * * * * * ... two positive cubes. 12 cube + 1 cube and 10 cube + 9 cube.
134 cubes left.
a perfect cube
How about 27 whose cube root is 3 which is a rational whole number.
You would get two rectangular prisms (half-cubes).
Assuming that the cubes are 1x1x1, there will be one thousand cubes in the larger cube.
It is a cube.
The equation for the number of 1 cm3 cubes to form a n3 cm3 hollow cube (n>1): 6n2-12n+8 (hint: cubes have 6 faces, 12 edges, and 8 vertices) I'm not sure whether you are asking about a 10 cm3 cube or a 103 cm3 cube. Since you can't divide a 10 cm3 cube into 1 cm3 pieces, I am going to assume you mean a 103 cm3 cube. This cube will yield 1000 1 cm3 cubes. For n=13, 6n2-12n+8 = 866 For n=14, 6n2-12n+8 = 1016 So, with 1000 little cubes, you can form a 13x13x13 cm hollow cube with 134 little cubes left out.