1st pic
Triangle
prism
a triangular end with a base of 27 mm and a height of 23 mm.
the length of each side is 56 mm and the width of each side
is 27 mm
SA=bh+(s1+s2+s3)H
SA=(27)(23)+(27+27+27)(56)
SA= 621 + 4536
SA=5157 mm^2
V = ½ blh
V = ½ (27)(23)(56)
V = 17388 mm^3
2nd pic
Cone
SA = πr(r + √(h^2 + r^2) (r = 4, h = 7)
SA = 4π (4 + √(7^2 + 4^2))
SA = 4π (4 + √(49 + 16))
SA = 4π (4 + √65 )
SA = 16π + 4√65
V = 1/3 πr^2h (r = 4, h = 7)
V = 1/3 π (4^2)(7)
V = 112/3 π
V = 37 1/3 π
3rd pic
sphere:
SA = 4
π r^2 as you know r = 14/2 = 7
SA = 4π(7^2) = 4π(49) = 196
π m^2
V = 4/3πr^3
V = 4/3π(7^3)
V = 4/3π(343)
V = 1372/3 π
V = 457 1/3 π m^3
