Asked by Mehul Mundhada on May 06, 2024

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Write the surface area S of a cube as a function of the length x of one of its edges, and use it to find the surface area (in square inches) when x=5x = 5x=5 inches.

A) S(5) =25S ( 5 ) = 25S(5) =25 square inches
B) S(5) =750S ( 5 ) = 750S(5) =750 square inches
C) S(5) =30S ( 5 ) = 30S(5) =30 square inches
D) S(5) =100S ( 5 ) = 100S(5) =100 square inches
E) S(5) =150S ( 5 ) = 150S(5) =150 square inches

Surface Area

The total area of the exterior surface of a three-dimensional object.

Cube

A three-dimensional solid object bounded by six square faces or sides, with three meeting at each vertex.

Length

The measurement of something from end to end, typically considered the greatest dimension of an object.

  • Calculate the surface area of geometric shapes.
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Verified Answer

JS
Jolina SantosMay 13, 2024
Final Answer :
E
Explanation :
The surface area SSS of a cube as a function of the length xxx of one of its edges is given by S(x)=6x2S(x) = 6x^2S(x)=6x2 . Substituting x=5x = 5x=5 inches, we get S(5)=6×52=6×25=150S(5) = 6 \times 5^2 = 6 \times 25 = 150S(5)=6×52=6×25=150 square inches.