Question

Match each shape with its surface area. Use three point one four for pi and round to the nearest whole number where necessary.



1.square pyramid: base length 6 meters, slant height 10 meters

2.cone: radius 4 meters, slant height 8 meters

3.square pyramid: base length 5 meters, slant height 11 meters

4.cone: radius 6 meters, slant height 4 meters

A)1511m^2
B)156m^2
C)188m^2
D)135m^2

Answer 1

surface area of square pyramid : 2bs + b^2
b = 6
s = 10
now we sub
2(6)(10) + 6^2
2(60) + 36
120 + 36
156 m^2

surface area of cone : (pi )rs + (pi) r^2
r = 4
s = 8
pi = 3.14
now we sub
(3.14)(4)(8) + (3.14)(4^2)
(3.14)(32) + (3.14)(16)
100.48 + 50.24
150.72

square pyramid :
2bs + b^2
b = 5
s = 11
now we sub
2(5)(11) + 5^2
2(55) + 25
110 + 25
135 m^2

cone : (pi) rs + (pi) r^2
r = 6
s = 4
pi = 3.14
now we sub
(3.14)(6)(4) + (3.14)(6^2)
3.14(24) + 3.14(36)
75.36 + 113.04
188.4 m^2

I am not getting the exact same answers for the cones

Answer 2

thanks:)