Find the total surface area of this square based pyramid

Given:

Length of a side of base of a square base pyramid = 6 cm

Height of each triangular surface = 4 cm.

To find:

The total surface area of the square based pyramid.

Solution:

Area of a square with side length a is

Area of square with side length 6 cm is

So, area of square with side length 6 cm is 36 cm².

Area of triangle is

Area of each triangular surface is

Total area of 4 triangular surfaces is

So, area of all triangular surfaces is 48 cm².

Now, total area of pyramid is the sum of base area and area of all triangular sides.

Therefore, the area of given square pyramid is 84 cm².

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).

below

step-by-step explanation:

1. 5/1

2. 10/16

3. 90/2

4. 1/20

5. 3/1

6. 14/24

7. 1/4

8. 18/10