Question

kevin wraps a gift box in the shape of a triangular pyramid. the figure below shows a net for the gift box. if all the triangles are equilateral, how much wrapping paper did he use, in square inches? answer a = in²

Explanation:

Step1: Recall area formula for triangle

$A_{\triangle}=\frac{1}{2}\times base\times height$

Step2: Identify base and height

Base = 5 in, height = 4.33 in

Step3: Calculate area of one triangle

$A_1=\frac{1}{2}\times5\times4.33 = 10.825$ in²

Step4: Determine number of triangles

A triangular - pyramid net has 4 congruent equilateral triangles.

Step5: Calculate total area

$A = 4\times A_1=4\times10.825 = 43.3$ in²

Answer:

$43.3$