What is the surface area of this cube?

A= 6 a^2 = 6·7^2 = 294

Hello!

Let’s begin by finding the surface area of one of the cube’s six faces. The formula for the surface area of a square can be written as follows:

area = length × width

We are given that the length, width, and height of the cube in the image above all have a length of 7mm. Now we’ll insert any relevant values into the formula above:

area = (7mm) × (7mm)

Simplify the right side of the equation:

area = 49mm²

We have now proven that the surface area of one face is equal to 49mm². However, we are asked to find the total surface area of the given cube. Because a cube has six identical faces, we can use the proven area of one face to find the total surface area of the cube. We’ll begin with the following formula:

total surface area = (area of face #1) × 6

Now insert the proven value of the first face:

total surface area = (49mm²) × 6

Simplify the right side of the equation:

total surface area = 294mm²

We have now proven that the total surface area of the given cube is 294mm².

I hope this helps!

Answer: f(x) = -2x^3 +3x^2 +11x -6see attachedan infinite number. since the magnitude of the leading coefficient is not specified, it may be any negative number. (we have chosen the smallest magnitude integer that makes all coefficients be integers.)step-by-step explanation:

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.