a gift box has the shape of a cube. the length of each side is 10.5 cm. what is the volume of the gift box?

Volume = 1,157.625cm^3

Step-by-step explanation:

A cube means all sides (length, width, and height) are the same measurement. Since we are given one measurement (length = 10.5cm), all sides will be the same measurement.

Formula for volume:

Volume = length × width × height

v = l × w × h

v = 10.5cm × 10.5cm × 10.5cm

v = 110.25cm^2 × 10.5cm

v = 1,157.625cm^3

The unit will always be to the third power because the formula calls for multiplying the same unit (in this case, cm or Centimeters) three times. cm × cm × cm = cm^3

is there answer choices?

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source