A regular pyramid has a base length of 10m a side length of 18m and a height of 5sqr3

Question

Find the surface area of the regular pyramid shown to the nearest whole number?
(Choose 1 of the following responses)
810 m2
740 m2
775 m2
800 m2

Answer 1

To find the surface area of the regular pyramid, we need to calculate the area of the base and the area of the 4 triangles.

1. Area of the base:
Since it is a regular pyramid, the base is a square.
Area = (side length)^2
Area = 10^2
Area = 100 m^2

2. Area of the triangles:
To find the area of one triangle, we can use the formula:
Area = 0.5 * base * height
Area = 0.5 * 10 * 18
Area = 90 m^2

Since there are 4 triangles, the total area of all the triangles is:
Total area = 4 * 90
Total area = 360 m^2

3. Adding the base area and the total area of the triangles:
Surface area = base area + total area of triangles
Surface area = 100 + 360
Surface area = 460 m^2

Therefore, the surface area of the regular pyramid is closest to 460 m^2.