Ion What is the total surface area of a pyramid with a square base with sides of 12 cm, where the faces
have a slant height of 15 cm?
15 cm
On this side.
A
= 0.3333333
12 cm
O A 144 cm?
OB 234 cm
OC 360 cm
OD 504 cm?

504

Step-by-step explanation:

Area: 4 triangles + square

Triangle area = 1/2 x b x h

Square = side x side

4(1/2 x 12x 15) + 12x12

= 504

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584