The volume of a cube-shaped shipping container is 15,625 cubic inches. Find the edge length of the shipping container.Explain you r process

Answer :

jmcduffie00
To solve this problem, you first need to know the volume of a cube. The volume of a cube is V = [tex] a^{3} [/tex]. We're given the overall volume, so our first step is to plug that in. 15,625 = [tex] a^{3} [/tex]. Now we have to undo the right side of the equation to isolate a. The opposite of taking the cube of something, or something to the power of 3, is to take the cube root. This means we need to take the cube root of 15,625, which would look like this, [tex] \sqrt[3]{15,625} [/tex]. Cube roots are rather difficult to do in your head; unless you're doing simple cubes, your teacher will allow you to use a calculator to evaluate a cube root. When you plug 15,625 into your calculator with the cube root function, your answer is 25. Therefore, one length edge of the shipping container is 25 inches. 

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