The formula for the difference of two cubes, a^3 – b^3, is a special case of the binomial expansion formula. It can be factored into (a – b)(a^2 + ab + b^2). Let’s break down the formula and understand its components: (a – b): This part represents the difference between the two values, where ‘a’ …
The diagonal of cube is a line segment that connects two non-adjacent vertices of the cube and passes through its center. In other words, it is a line segment that spans from one corner of the cube to another, passing through the center of the cube. For a cube with edges of length “a,” the …
To find the cube of a number, you need to multiply the number by itself twice. In mathematical notation, if you have a number “x,” its cube is represented as “x^3.” Here’s the formula: Cube of a number (x^3) = x * x * x For example, if you want to find the cube of …
The Surface Area of Cube refers to the total area of all its six square faces. Each face of a cube is identical and has the same dimensions, so calculating the surface area is relatively straightforward. To find the surface area of a cube, you need to know the length of one side (edge) of …
The volume of a cube refers to the amount of space occupied by the cube. A cube is a three-dimensional geometric shape with six square faces of equal size. Each face is perpendicular to the adjacent faces, and all edges have the same length. To calculate the it you need to know the length of …
Projectile Motion Derivation: The projectile motion refers to the motion of an object that is launched into the air and moves under the influence of gravity. It follows a curved path known as a parabola. To derive the equations of projectile motion, we’ll assume the following: The only force acting on the projectile is gravity. …
The divisibility rule for 13 is a helpful guideline to determine if a given number is divisible by 13 without performing long division. Here’s how the divisibility rule for 13 works: Take the number you want to check for divisibility by 13. Multiply the last digit of the number by 4 and subtract it …
The divisibility rule for 8 is a guideline to determine if a given number is divisible by 8 without performing long division. Here’s how the divisibility rule for 8 works: Take the last three digits of the number you want to check for divisibility by 8. If these three digits form a number that is …
Divisibility Rule of 11 Take the number you want to check for divisibility by 11. Starting from the rightmost digit, multiply each digit alternatively by 1 and -1, moving from right to left. Add up all the resulting values. If the sum is divisible by 11 (including zero), then the original number is also divisible …
The divisibility rule for 7 is a helpful guideline to determine if a given number is divisible by 7 without performing long division. Here’s how the divisibility rule for 7 works: Take the number you want to check for divisibility by 7. Double the last digit of the number (the units digit) and subtract it …