Question

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?

Answer 1

Solution:

Given the pyramid-shaped gift below:

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

This is expressed as

$area\text{ = base area + \lparen}\frac{1}{2}\times perimeter\text{ of base}\times slant\text{ height\rparen}$

Thus, we have

$\begin{gathered} area=(5\times5)+(\frac{1}{2}\times4(5)\times9.7) \\ =122\text{ square centimeters} \end{gathered}$

The correct option is