What is the formula for factoring cubes?
The sum or difference of two cubes can be factored into a product of a binomial times a trinomial. That is, x3+y3=(x+y)(x2−xy+y2) and x3−y3=(x−y)(x2+xy+y2) .
How do you find the area of a cube?
A cube has 6 faces. The area of each face is found by squaring the length of the side. Multiply the area of one face by the number of faces to get the total surface area of the cube.
How do you factor the difference of cubes?
A difference of cubes is a binomial that is of the form (something)3 – (something else)3. To factor any difference of cubes, you use the formula a3 – b3 = (a – b)(a2 + ab + b2). A sum of cubes is a binomial of the form: (something)3 + (something else)3.
How do you find the surface area and volume of a cube?
So for a cube, the formulas for volume and surface area are V=s3 V = s 3 and S=6s2 S = 6 s 2 .
Which is the formula for the surface area of a cube?
The formula for surface area is equal to six times of square of length of the sides of cube. It is represented by 6a2, where a is the side length of cube.It is basically the total surface area. Also, learn Volume Of A Cube.
How do you calculate the area of a square?
Area of a Square. A cube is made from squares, and a square is a special type of rectangle. You find the area of any rectangle by multiplying the length of its longer side by that of its shorter side. When the rectangle becomes a square, all four sides have the same length, so you simply multiply the length by itself.
How to calculate the surface area of a cuboid?
Total surface area of a cuboid = 2 × (area of three symmetrical faces) = 2 × (lb + bh+ hl) The curved surface of a cylinder, if opened along the diameter (d=2r) of the circular base can be transformed into a rectangle of length ‘2?r’ and height ‘h’.
Which is the correct formula for factoring a perfect cube?
Once you are sure that you are factoring a perfect cube binomial, you are going to use this formula: Here’s a hint: If you have a difference of cubes in the form a ^3 – b ^3, just think of it as a ^3 + (- b ^3). That way you only have to memorize this one formula.