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carla is building a box shaped like a rectangular prism. she will cover each side of the box with a mirror. If the height of the box is 16 inches, how many square inches of a mirror will Carla need to cover all sides of the box?

Respuesta :

ANSWER:

Carla needs 1288 square inches of mirror

STEP-BY-STEP EXPLANATION:

We have that the surface area of a rectangular prism is calculated as follows:

[tex]\begin{gathered} A=2\cdot l\cdot w+2\cdot l\cdot h+2\cdot h\cdot w \\ l=14 \\ w=14 \\ h=16 \end{gathered}[/tex]

replacing:

[tex]\begin{gathered} A=2\cdot14\cdot14+2\cdot14\cdot16+2\cdot14\cdot16 \\ A=2\cdot14\cdot14+4\cdot14\cdot16 \\ A=392+896 \\ A=1288 \end{gathered}[/tex]

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