Anshul and Balendu have 50 cubes of side 1 cm. They decided to make a larger cube by joining these smaller cubes. The number of larger cubes (all of different sizes) they can make is
___

Open in App

Solution

Since the side of the smaller cube is 1 cm, its volume will be 1 cubic cm.

We know that the volume of cubes of sides 1,2,3,4,... are 1,8,27,64...cubic cm.
But Anshul and Balendu have only 50 small cubes, so they can make cubes of 3 sizes with the help of 1,8 and 27 smaller cubes.
It should be noted that (50-1-8-27) = 14 smaller cubes will be left unused.

Suggest Corrections

Similar questions

Anshul and Balendu have 50 cubes of side 1 cm. They decided to create Rubik's cubes (a larger cube) by joining these smaller cubes. The number of Rubik's cubes (all of different sizes) they can make is

___

Q. All the 6 sides of a cube are colored. Now this cube is broken into smaller cubes, with each side

{\frac{1}{4}}^{t h}

the size of the side of the larger cube. How many of the smaller cubes will have all three sides colored?

Q. Shishir is making a larger cube of side 6 cm using cubes of side 2 cm. How many such cubes are needed?

Q. There are

20

until cubes all of whose faces are white, and

44

until cubes all of whose faces are red They are put together to form a bigger cube

(4 \times 4 \times 4)

. What is the minimum number of white faces visible on this larger cube?

Q. There are 20 unit cubes all of whose faces are white, and 44 unit cubes all of whose faces are red. They are put together to form a bigger cube (4

\times

\times

4). What is the minimum number of white faces Visible on this larger cube?

Join BYJU'S Learning Program

Anshul and Balendu have 50 cubes of side 1 cm. They decided to make a larger cube by joining these smaller cubes. The number of larger cubes (all of different sizes) they can make is ___

Anshul and Balendu have 50 cubes of side 1 cm. They decided to make a larger cube by joining these smaller cubes. The number of larger cubes (all of different sizes) they can make is
___