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To determine the amount of wrapping paper needed for a rectangular box, Ryan finds the surface area of the box. How much wrapping paper is needed if the boxmeasures 10 cm by 3 cm by 8 cm?O 134 cm? of wrapping paper0 220 cm? of wrapping paperO 268 cm? of wrapping paperO 240 cm? of wrapping paper

Respuesta :

268 cm²

Explanation:

The dimension of the box is 10cm by 3cm by 8cm

The box is rectangular. To find the surface area, we will use formula of surface area of rectangular prism

[tex]\text{Surface area = 2(lh + wh + lw)}[/tex]

let the length = l = 10cm,

width = w= 3cm

height = h = 8cm

substitute for the values in the formula:

[tex]\begin{gathered} \text{Surface area of the box = }2((10\times8)\text{ + (3}\times8)\text{ + (10}\times3)) \\ \text{surface area of the box = 2(80 + 24 + 30)} \end{gathered}[/tex][tex]\begin{gathered} \text{surface area of the box = 2(134)} \\ \text{surface area of the box = 268 cm}^2 \end{gathered}[/tex]

Hence, the amount of wrapping paper needed for the box is 268 cm²

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