How many squares does a net of a cube contain?
(A) 4
(B) 6
(C) 8
(D) None of these
Answer
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Hint: Assume that the edge length of the cube is \[a\] units. Every face of a cube has four edges and the length of each edge is equal to \[a\] units and each edge is perpendicular to each other. So, we can say that every face of the cube is of square shape. Now, use the property that a cube has 6 faces. Solve it further and get the number of squares that the cube contains.
Complete step by step answer:
According to the question, we are given a cube and we have to figure out the number of squares that the cube contains.
First of all, let us assume that the edge length of the cube is \[a\] units ……………………………………(1)
We know the property that edges of a cube are equal to each other ……………………………………..(2)
Now, from equation (1) and equation (2), we can say that the length of each edge of the cube is \[a\] units.
A Cube is a three-dimensional whereas a square is a two-dimensional figure. Every face of a cube has four edges and the length of each edge is equal to \[a\] units and each edge is perpendicular to each other. So, we can say that every face of the cube is of square shape.
Here, we are asked the number of squares. In other words, we can say that the number of faces of a cube is equal to the number of squares …………………………………………………..(3)
We also know the property that a cube has six faces …………………………………………(4)
Now, from equation (3) and equation (4), we get
The number of squares that a cube contains is 6.
Note: Since, every face of a cube is of square shape. So, to solve this type of question, just go with one property that is the number of faces of a cube is 6. Therefore, the number of squares that a cube contains is 6.
Complete step by step answer:
According to the question, we are given a cube and we have to figure out the number of squares that the cube contains.
First of all, let us assume that the edge length of the cube is \[a\] units ……………………………………(1)
We know the property that edges of a cube are equal to each other ……………………………………..(2)
Now, from equation (1) and equation (2), we can say that the length of each edge of the cube is \[a\] units.
A Cube is a three-dimensional whereas a square is a two-dimensional figure. Every face of a cube has four edges and the length of each edge is equal to \[a\] units and each edge is perpendicular to each other. So, we can say that every face of the cube is of square shape.
Here, we are asked the number of squares. In other words, we can say that the number of faces of a cube is equal to the number of squares …………………………………………………..(3)
We also know the property that a cube has six faces …………………………………………(4)
Now, from equation (3) and equation (4), we get
The number of squares that a cube contains is 6.
Note: Since, every face of a cube is of square shape. So, to solve this type of question, just go with one property that is the number of faces of a cube is 6. Therefore, the number of squares that a cube contains is 6.
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