# Cube construction

A 2×2×2 cube will be constructed using four white and four black unit cube. How many different cubes can be constructed in this way? ( Two cubes are not different if one can be obtained by rotating the other. )

### Correct answer:

**Showing 1 comment:**

Tips for related online calculators

Would you like to compute the count of combinations?

See also our variations calculator.

Tip: Our volume units converter will help you convert volume units.

See also our variations calculator.

Tip: Our volume units converter will help you convert volume units.

#### You need to know the following knowledge to solve this word math problem:

**combinatorics**- combinatorial number
- variations
- multiplication principle
**arithmetic**- multiplication
- exponentiation
**solid geometry**- cube
**numbers**- natural numbers

#### Units of physical quantities:

#### Grade of the word problem:

## Related math problems and questions:

- Karolína

Carolina chose five bodies from the kit - white, blue, and gray cubes, a blue cylinder, and a white triangular prism. How many different roof towers can be built one by one if all the blue bodies (cube and cylinder) are not placed on top? - Combi-triangle

Each square side is marked 10 different points outside the square's vertices. How many triangles can be constructed from this set of points, where each vertex of the triangle lies on the other side of the square? - Exactly 5803

There are 15 black and 20 white balls in destiny. How many ways can six balls be drawn to have exactly two whites between them? - A wheat

A wheat factory packages wheat in sacks of three different colors. The following table shows the amount of wheat (in kg) packed in each type of sack. White sack 2 kg Brown sack 3 kg Black sack 4 kg What is the total amount of wheat (in kg) which can be pa - Chamber

In the chamber, light is broken, and all from it must be taken at random. Socks have four different colors. If you want to be sure of pulling at least two white socks, we have to bring them out 28 from the chamber. To have such certainty for the pair of g - The percentages in practice

If every tenth apple on the tree is rotten, it can be expressed by percentages: 10% of the apples on the tree are rotten. Tell percent using the following information: a. in June rained six days b, increase worker pay from 500 euros to 50 euros c, grabbed - Quiz or test

I have a quiz with 20 questions. Each question has four multiple-choice answers, A, B, C, D. THERE IS NO WAY TO KNOW THE CORRECT ANSWER OF ANY GIVEN QUESTION, but the answers are static, in that if the "correct" answer to ; 1 = C, then it will always be e - Wooden block

A cuboid-shaped wooden block has 6 cm length, 4 cm breadth, and 1 cm height. Two faces measuring 4 cm x 1 cm are colored in black. Two faces measuring 6 cm x 1 cm are colored in red. Two faces measuring 6 cm x 4 cm are colored in green. The block is divid - Chess pieces

There are five black chess pieces in the box. How many white pieces should we add to this box so that the probability of pulling out a black piece is 1: 4? - Chessboard 80533

How many ways can one white and one black square be selected on an 8x8 chessboard if the selected squares cannot lie in the same row or column? - Red cubes

There are 15 white and several red cubes in the box. The probability of accidentally pulling out a white cube is 20%. How many red cubes are in the box? - Perpendicular 5865

We cut the cube with two mutually perpendicular cuts, each parallel to one of the cube's walls. By what percentage is the sum of the surfaces of all cuboids created in this way greater than the surface of the original cube? - Holidays with grandmam

We packed three white, red, and orange T-shirts and five pairs of pants - blue, green, black, pink, and yellow. How many days can we spend with the old mother if we put on a different combination of clothes every day? - Different 45881

Silvia wants to buy a new t-shirt, skirt, and pants. The boutique has ten different T-shirts, a white and black skirt and six types of trousers. How many different clothing options can you buy? - Checkerboard 9091

How can we put five different pieces on an 8x8 checkerboard so that two stand on black and three on white shelves? - Flags

How many different flags can be made from green, white, blue, red, orange, yellow, and purple materials, so each flag consists of three different colors? - Helmet

Nowadays, better results can be obtained in cycling due to the rider's physical preparation and updated technologies. One of the essential parts of the rider's equipment is their helmet. While most bikers wear a helmet mainly to protect themselves, racers