Question

question elijah wraps a gift box in the shape of a triangular pyramid. the figure below shows a net 9.53 ft 11 ft if all the triangles are equilateral, how much wrapping paper did he use, in square feet? answer a = ft² submit answer

Explanation:

Step1: Recall area formula for triangle

The area formula for a triangle is $A_{\triangle}=\frac{1}{2}bh$, where $b$ is the base and $h$ is the height.

Step2: Identify base and height

From the net of the triangular - pyramid, the base $b = 11$ ft and the height $h=9.53$ ft.

Step3: Calculate area of one triangle

$A_{\triangle}=\frac{1}{2}\times11\times9.53=\frac{104.83}{2}=52.415$ square - feet.

Step4: Determine number of faces

A triangular pyramid has 4 triangular faces.

Step5: Calculate total surface area

The total surface area $A$ of the triangular pyramid (amount of wrapping paper) is $A = 4\times A_{\triangle}$.
$A=4\times52.415 = 209.66$ square - feet.

Answer:

$209.66$