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15 votes
15 votes
Isabella made a pyramid-shaped paper gift box with a square base in her origami class. Each triangular side of this pyramid has a base length of 5 centimeters and a slant height of 9.7 centimeters.How much paper did Isabella use to make the gift box?

Isabella made a pyramid-shaped paper gift box with a square base in her origami class-example-1
User Marco Moschettini
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1 Answer

10 votes
10 votes

Solution:

Given the pyramid-shaped gift below:

The amount of paper used is the area of the pyramid-shaped gift.

This is expressed as


area\text{ = base area + \lparen}(1)/(2)* perimeter\text{ of base}* slant\text{ height\rparen}

Thus, we have


\begin{gathered} area=(5*5)+((1)/(2)*4(5)*9.7) \\ =122\text{ square centimeters} \end{gathered}

The correct option is

Isabella made a pyramid-shaped paper gift box with a square base in her origami class-example-1
Isabella made a pyramid-shaped paper gift box with a square base in her origami class-example-2
User Ahmad Baraka
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2.9k points