Maths-
General
Easy

Question

The length of each side of a cube is 14𝑥 + 8 𝑓𝑒𝑒𝑡. Write a polynomial in standard form to represent the surface area of the cube.

Hint:

The methods used to find the product of binomials are called special products.
Multiplying a number by itself is often called squaring.
For example (x + 3)(x + 3) = (x + 3)2
Surface area of cube of side a = 6a2

The correct answer is: 384 feet2


    The length of each side of a cube is 14x + 8 feet.
    Surface area of the cube = 6(14x + 8)2

     (14x + 8)2 = (14x + 8)(14x + 8)

    = 14x(14x + 8) + 8(14x + 8)

    = 14x(14x) + 14x(8) + 8(14x) + 8(8)

    = 196 x2 + 112x + 112x + 64

    = 196 x2 + 224x + 64
    Surface area of the cube = 6(14x + 8)2

    = 6(196 x2 + 224x + 64)

    = 1176 x2 + 1344x + 384 feet2
    Final Answer:
    Hence, the polynomial which represents the surface area of the cube of 14x + 8 feet side is 1176 x2 + 1344x + 384 feet2.
     

    This question can be easily solved by using the formula
    (a + b)2 = a2 + 2ab + b2

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