
Number of dimensions, a solid has:
A.1
B.2
C.3
D.0
Answer
564k+ views
Hint: A three-dimensional shape in geometry can be defined as a figure, object etc which consists of three dimensions i.e. length, width and height.
To find out the correct option let us take two different solid shapes i.e. cuboid and cylinder and then compare them with each of the options and we will get the required answer.
Complete step-by-step answer:
Let us see what is given to us? We are given a solid and we have to tell the number of dimensions a solid has.
To find this let us take two examples of solids i.e. cuboid and cylinder.
First of all, let us take a cuboid and see its dimensions as given below:
Here, in this diagram we can see it has three parameters i.e. L, H and B, where L is the length, B is the width and H is the height. Now, if we represent it on the axis graph, we need 3-axis i.e. length along x, breadth along y and z. So, it has 3 numbers of dimensions.
After that, let us check with cylinder as given below:
Here, in this diagram you can see that the cylinder consists of two bases that are circular in shape and are parallel to each other. These bases are connected by a curved surface. To represent the cylinder, we need three axes i.e. base along x and z and height along y. So, it also has three numbers of dimensions.
By analysing each option and these two solid shapes, it is concluded that the solid is a 3-dimensional shape.
Hence, option C is the correct option.
Note: It is noted that if the height of these shapes became zero then they became 2-dimensional shapes as we require only two axes i.e. x and y to represent them. Moreover, the cylinder became circle in shape and cuboid became rectangle in shape.
To find out the correct option let us take two different solid shapes i.e. cuboid and cylinder and then compare them with each of the options and we will get the required answer.
Complete step-by-step answer:
Let us see what is given to us? We are given a solid and we have to tell the number of dimensions a solid has.
To find this let us take two examples of solids i.e. cuboid and cylinder.
First of all, let us take a cuboid and see its dimensions as given below:
Here, in this diagram we can see it has three parameters i.e. L, H and B, where L is the length, B is the width and H is the height. Now, if we represent it on the axis graph, we need 3-axis i.e. length along x, breadth along y and z. So, it has 3 numbers of dimensions.
After that, let us check with cylinder as given below:
Here, in this diagram you can see that the cylinder consists of two bases that are circular in shape and are parallel to each other. These bases are connected by a curved surface. To represent the cylinder, we need three axes i.e. base along x and z and height along y. So, it also has three numbers of dimensions.
By analysing each option and these two solid shapes, it is concluded that the solid is a 3-dimensional shape.
Hence, option C is the correct option.
Note: It is noted that if the height of these shapes became zero then they became 2-dimensional shapes as we require only two axes i.e. x and y to represent them. Moreover, the cylinder became circle in shape and cuboid became rectangle in shape.
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