Question

question dianelys wraps a gift box in the shape of a square pyramid. the figure below shows a net for the gift box. how much wrapping paper did she use, in square meters? answer

Explanation:

Step1: Calculate area of base

The base is a square with side - length $a = 4.6$m. The area of the square base $A_{base}=a^{2}=4.6^{2}=21.16$m².

Step2: Calculate area of one triangular face

The formula for the area of a triangle is $A=\frac{1}{2}bh$. Here, the base of the triangle $b = 4.6$m and the height $h = 3.7$m. So, $A_{triangle}=\frac{1}{2}\times4.6\times3.7 = 8.51$m².

Step3: Calculate total area of 4 triangular faces

Since there are 4 triangular faces, $A_{triangles}=4\times A_{triangle}=4\times8.51 = 34.04$m².

Step4: Calculate total surface area

The total surface area $A = A_{base}+A_{triangles}=21.16 + 34.04=44.88$m².

Answer:

$44.88$