A portable cooler is 19 inches long, 14 inches wide, and 14 inches tall.
A cooler that is shaped like a rectangular prism.

Sanit Fuangnakhon/Shutterstock

What is the volume of the cooler in cubic inches?

The answer to your question is   V = 3724 in³

Step-by-step explanation:

Data

Dimensions

length = 19 in

width = 14 in

height = 14 in

Formula

To find the volume of a rectangular prism just multiply the length of the three sides (length x width x height).

      V = L x W x H

Substitution

      V = 19 x 14 x 14

Simplification

      V = 3724 in³

step-by-step explanation:

equation

you are asked to write the equation

  expression = 0

using the given expression. when you do that, you have

  2x^2-2x-12 = 0

factoring

you can see that each of the coefficients is even, so a factor of 2 can be removed immediately.

  2(x^2 -x -6) = 0

if you multiply the binomials (x+a)(x+b), you get

  (x +a)(x +b) = x^2 +(a+b)x +ab

this tells you the coefficient of x is the sum of two factors of the constant term. here, that means -1 is the sum of two factors of -6. we want to know those factors so we can factor the trinomial.

  -6 = -1×6 = -2×3 = -3×2 = -6×1

the factor pair that sums to -1 is {-3, 2}, so our factorization is

  2(x -3)(x +2) = 0

solutions

the solutions to this equation are the values of x that make the product zero. a product is zero only when only of the factors of the product is zero. here, that means

  x - 3 = 0

  x = 3 . . . add 3 to both sides of the equation

or

  x +2 = 0

  x = -2 . . . add -2 to both sides of the equation

the solutions to the equation are x=3 or x=-2. both of these values of x satisfy the equation—they make it be true.

first one is a: renaming a fraction. second one is c: de-c

step-by-step explanation:

my explanation is that these were the answers on edg : )