Respuesta :
The length of an edge of a cube is 5 feet.
What is cube?
In Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.
Total surface area of a cube = 6[tex]l^{2}[/tex]
Given that,
Total surface area of a cube = 150 square feet
Total surface area of a cube = 6[tex]l^{2}[/tex]
[tex]\Rightarrow[/tex] 150 = 6[tex]l^{2}[/tex]
[tex]\Rightarrow[/tex] [tex]l^{2}[/tex] = [tex]\frac{150}{6}[/tex]
[tex]\Rightarrow[/tex] [tex]l^{2}[/tex] = 25
[tex]\Rightarrow[/tex] l [tex]=\sqrt{25}[/tex]
[tex]\Rightarrow[/tex] l = 5 feet
Hence, the length of an edge of a cube is 5 feet.
To learn more about Cube from the given link :
https://brainly.in/question/7286769
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