Question

emily 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 she use, in square feet? answer a = ft²

Explanation:

Step1: Recall area formula for triangle

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

Step2: Identify base and height

Base = 6 ft, height = 5.2 ft

Step3: Calculate area of one triangle

$A_1=\frac{1}{2}\times6\times5.2 = 15.6$ square - feet

Step4: Find total area of triangular - pyramid

A triangular pyramid has 4 congruent triangular faces. So $A = 4\times A_1=4\times15.6\div2 = 31.2$ square - feet

Answer:

$31.2$