Question

these triangles are equilateral, and each triangle has a height of 5.2 centimeters. what is the surface area, in square centimeters, of the pyramid formed from the net shown here? enter only numerals in the box, and round your answer to one decimal place.

Explanation:

Step1: Calculate the area of one triangle

The formula for the area of a triangle is \(A=\frac{1}{2}\times base\times height\). Here, the base \(b = 6\) cm and the height \(h=5.2\) cm.

$$A=\frac{1}{2}\times6\times5.2= 15.6$$

Step2: Calculate the surface area of the pyramid

The net shows that the pyramid is composed of 4 congruent equilateral - triangle faces.
The surface area \(S\) of the pyramid is \(S = 4\times A\)

$$S=4\times15.6 = 62.4$$

Answer:

62.4