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 x^{2} + 112x + 112x + 64

= 196 x^{2} + 224x + 64

Surface area of the cube = 6(14x + 8)^{2}

= 6(196 x^{2} + 224x + 64)

= 1176 x^{2} + 1344x + 384 feet^{2}

Final Answer:

Hence, the polynomial which represents the surface area of the cube of 14x + 8 feet side is 1176 x^{2} + 1344x + 384 feet^{2}.

^{2}= (14x + 8)(14x + 8)

^{2}+ 112x + 112x + 64

^{2}+ 224x + 64

Surface area of the cube = 6(14x + 8)

^{2}

^{2}+ 224x + 64)

^{2}+ 1344x + 384 feet

^{2}

Final Answer:

Hence, the polynomial which represents the surface area of the cube of 14x + 8 feet side is 1176 x

^{2}+ 1344x + 384 feet

^{2}.

This question can be easily solved by using the formula

(a + b)2 = a2 + 2ab + b2

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