A square pyramid has a total surface area of 800 square feet. The area of the base is 200 square feet. What is the area of one triangular face of the lateral surface?

A. 250 ft^2
B. 100 ft^2
C. 150 ft^2
D. 200 ft^2

Question

A square pyramid has a total surface area of  800 square feet. The area of the base is 200 square feet. What is the area of one triangular face of the lateral surface?

A. 250 ft^2
B. 100 ft^2
C. 150 ft^2
D. 200 ft^2

jim_thompson5910 · Answer

The total surface area is 800 sq ft

The area of the base is 200 sq ft


So the lateral surface area (the surface area of the sides) is 800 - 200= 600 sq ft


There are 4 triangular faces that make up the sides of the pyramid (a drawing or a solid physical model may help you see this). So the lateral surface area of 600 sq ft is divided evenly amongst the 4 triangular faces


So the area of one triangular face is 600/4 = 150 sq ft

gabylovesyou · Answer

omg thank u again! I did get it right btw (im checking my answers) lol thats what i thought ;)

jim_thompson5910 · Answer

yw, that's great that you got the right answer

gabylovesyou · Answer

medal for u :D lol yep

jim_thompson5910 · Answer

lol thx, but I'm better off knowing that this is clicking and making sense to you

gabylovesyou · Answer

yes it did! thanks :D

jim_thompson5910 · Answer

that's great, glad I could help

gabylovesyou · Answer

:D