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MCQ On Cube And Cube Roots For Class 8
A cube is a three-dimensional figure with six square faces. A cube root is a number that, when multiplied by itself, produces a cube.
The cube root of a number is the number that, when multiplied by itself three times, produces the number. For example, the cube root of 8 is 2, because 2 multiplied by itself three times produces 8.
Real Life Use of Cubes And Cube Roots
One practical application of cubes and cube roots is in solving cubic equations. For example, the equation x3 – 10x = 0 can be solved by taking the cube root of each side. This yields x = 0 or x = 2.
Difference Between Square Root And Cube Root
Square root is the inverse operation of squaring a number. It is the number that, when multiplied by itself, results in the given number. For example, the square root of 9 is 3, because 3 multiplied by 3 equals 9.
The cube root is the inverse operation of cubing a number. It is the number that, when multiplied by itself three times, results in the given number. For example, the cube root of 64 is 4, because 4 multiplied by 4 multiplied by 4 equals 64.
A perfect cube is a cube number that is the sum of its digits multiplied by itself. For example, 153 is a perfect cube because 1 + 5 + 3 = 9 and 9 × 9 = 81.
Volume of A Cube
A cube has six faces, each measuring a square foot.
There are six square feet in a cube, so the volume of a cube is 6 cubic feet.
How to Find A Cube Root of A Given Cube Number?
If you are given a cube number, you can find the cube root by using a calculator or by using a method known as long division.
To find the cube root using a calculator, you will need to press the “3” key and then the “/” key. After that, you will need to type in the cube number that you are trying to find the cube root for. Once you have done that, press the “=” key and the answer will be displayed.
To find the cube root using long division, you will need to first write down the number that is being divided by the cube root. After that, you will need to draw a line under the number and then write the symbol for cube root. Next, you will need to write the number that is being divided by the cube root again, but this time you will need to write it above the line. After that, you will need to divide the two numbers and then write the answer below the line.