an amusement park wants a square pyramid in its ancient wonders theme area. the pyramid is to be 8 ft high and have a 12 ft wide square base. what is the surface area of the pyramid

Question

lgbasallote · Answer

do you know how to take the surface area of a square prism?

anonymous · Answer

no did not learn that i have the answer but i just want to check my answers to see if i got the same or if i should try the problem again

anonymous · Answer

@igbasallote please help

lgbasallote · Answer

the formula for square prism is 4sh + s^2 h where s is the side of the square and h is the height.

now to take the surface area of a square pyramid, just divide the formula by 3

$$SA = \frac{4sh + s^2 h}{3}$$
okay so far?

anonymous · Answer

ok

anonymous · Answer

@igbasallote u there?

lgbasallote · Answer

sorry...that formula is a mistake...i couldn't correct it because i keep lagging up

anonymous · Answer

i got 336ft squared

lgbasallote · Answer

how did you get that?

anonymous · Answer

i did 12 x 12 + 6xthe sh which i got 10 for and then that answer x 4

lgbasallote · Answer

let me show you the formula first..

formula for surface area of a square prism is $$4sh + 2s^2$$

formula for surface area of square pyramid is $$\frac{4sh + 2s^2}3$$

anonymous · Answer

ok but what do you get as an answer i got 336 and i tryed it 4 times but the book answers says 384

lgbasallote · Answer

it says side of square is 12 and h is 8 $$\implies \frac{4(12)(8) + 2(12)^2}3$$
is that what you did?

anonymous · Answer

no i dont understand that, my teacher told me to do b x h to find the area of the base and than 1/2 b x h x 4 to find the triangle faces and then add them together

anonymous · Answer

@igbasallote