The base of a prism is an isosceles triangle with legs 5m and base 8m. the height of the prism is 4m. Find the Lateral area, total area, and volume
2007-01-11 14:37:02 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
volume = 48
i forget how to do the rest
2007-01-11 14:48:05 · answer #1 · answered by Mr.Deeds 5 · 0⤊ 0⤋
First calculate the area of the base
a=8
b=5
c=5
from hero formula
u=18/2=9
area=sqrt(9*1*4*4)
=12
Volume=base area times height
=12*4=48
lateral area=2(8*4+5*4+5*4)
=2*72= 144
total area=2 times base area+lateral area
=2*12+144
=24+144
=168
2007-01-11 22:46:16 · answer #2 · answered by iyiogrenci 6 · 0⤊ 0⤋
Instead of Heron"s formula for the area of the base. You could use Pythagorean's theroem(because it is an isosceles triangle.)
Draw a perpendicular line thru the middle of the base.
The length of this line is squareroot(5^2 -4^2) =squareroot(25-16) = 3
The area of one of the bases of the prism is 0.5*8*3 =12
2007-01-12 00:59:59 · answer #3 · answered by PC_Load_Letter 4 · 0⤊ 0⤋