Question

The base of a table is shaped like a square pyramid. The pyramid has equilateral faces that measure 25 inches on each side. The base is 25 inches long. Sketch the net of the table base, and label the edge lengths.

Answer 1

All the edges of the table base measure 25 inches.

Explanation:

1. A square pyramid has a square for a base and four triangles for faces.

2. The four triangles of the square pyramid are equilateral triangles.

3. It is important to remember that an equilateral triangle is a triangle in which all three sides are equal. In this case each side measures 25 inches.

4. The square base of the pyramid measures 25 inches each side .

5. To obtain the height of the square pyramid, we use the formula of the height of the equilateral triangle.

height =
`(a√(3))/(2)`

where a is the measure of a side = 25 inches

height =
`(25√(3))/(2)`

height = 21,65