Question

Zoey is decorating the outside of a box in the shape of a square pyramid.The figure below shows a net for the box.What is the surface area of the box, in square centimeters, that Zoey decorates?

Answer 1

EXPLANATION

Let's see the facts:

If Zoey is decorating the outside of the box in the shape of a square pyramid, we can see that the area of the triangle is as follows:

Area_included triangle= (base*height)/2

We have that base= 8.9 cm and height=7.6 cm

Substrituting terms:

$\text{Area}_{triangle}=\frac{8.9\cdot7.6}{2}=\frac{67.64}{2}=33.82\operatorname{cm}^2$

Now, we need to consider that we have 4 triangles, so muliplying the answer by 4 give us the appropiate total pyramidal surface:

Total_Area_Triangle= 33.82*4 = 125.28 cm^2

Then, we need to calculate the Area of the square shape: