The volume of a cube shaped shipping container is 2744 in.³ find the edge length of the shipping container

Mathematics

1 answer:

Dima020 [189]2 years ago

7 0

Answer:

The edge length of the shipping container is 14 in.

Step-by-step explanation:

The volume enclosed by a cube is the number of cubic units that will exactly fill a cube.

To find the volume of a cube we need to recall that a cube has all edges the same length. The volume of a cube is found by multiplying the length of any edge by itself twice. Or as a formula:

$V=s^3$

where, <em>s</em> is the length of any edge of the cube.

To find the edge length of the shipping container we use the fact that the volume of a cube shaped shipping container is 2744 in³ and the above formula.

$2744=s^3\\\\s^3=2744\\\\s=\sqrt[3]{2744}\\\\s = 14\:in$

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