Answered

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Jenna wants to wrap a shipping box shaped like a rectangular prism. The box is 22 inches tall and has a square base with sides that each measure 3 inches. How much paper will she​ use?

Sagot :

Answer: [tex]282\ in.^2[/tex]

Step-by-step explanation:

Given

dimension of box are

[tex]h=22\ in.\\[/tex]

Square base length is [tex]l=3\ in.[/tex]

[tex]\therefore w=3\ in.[/tex]

The surface area of a rectangular prism is

[tex]S.A.=2[lb+bh+hl][/tex]

The paper area must be equal to the surface area of the prism

[tex]S.A.=2[22\times 3+3\times3 +3\times 22]\\S.A.=2\times 141=282\ in.^2[/tex]

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