Question

Can someone tell me the surface area and volume for these? I need the steps and formula as well. Please help me.

Answer 1

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) = 196π 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