Someone will correct me if I'm wrong, but I think c is wrong.
It should be 400 units^3
(1/3) * (area of the base) * ( height)
(1/3) * 100 * 12 = 400 units cubed
IS this correct. Im not so sure, especailly about c. Thanks.
A pyramid has a square base of side 10. A lateral edge of the pyramid is 13.
a) Find the slant height.
12, because of specail right triangle 5,12,13
b)Find the total area.
LA= 1/2pl
LA= 1/2 40x12
LA=240
TA=LA+B
TA=240+100
TA= 340units^3
c) Find the volume.
V=1/3Bh
V=1/3x100xh
(height h=2leg30 (12=slant edge)
12=2leg30
6=leg30
6=apothem
6^2+hieght^2=12^2
36+ h^2=144
h^2=108
h=6squarerootof3)
V=1/3x100x6(sr3) (sr= square root)
V=100/3 x 6(sr3)
Isn't the apothem of a regular polygon the shortest distance between the center of the polygon and the side of the polygon.
Please correct me if I am wrong but the apothem of a square is half the length of the side.
In my previous diagram r is the apothum
I get the apothem is equal to 5 units