loops4sammy loops4sammy
  • 06-08-2020
  • Mathematics
contestada

If the lateral surface area of a cube is 100 square inches, what is the length of an edge?

Respuesta :

adioabiola
adioabiola adioabiola
  • 11-08-2020

Answer:

Length of an edge=4.0825 inches

Approximately 4.1 inches

Step-by-step explanation:

Lateral surface area of a cube=100 square inches

There are 6 square surfaces on a cube.

6a^2=surface area of a cube

6a^2=100

Divide both sides by 6

a^2=100/6

a^2=16.6667

Find the square root of both sides

√a^2=√16.6667

a=√16.6667

x=4.0825 inches

Length of an edge=4.0825 inches

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