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