Question

35 points and 35 points on same repeat question on my drop-list questions.

Find the area? so you can just leave answer only in each. But show workings here please.

Answer 1

Area = 310.52 ft²

Explanation:

Cuboid - circle + curved surface of the cylinder + circle

= surface area if cuboid + curved surface cylinder

2[(9×7) + (9×4) + (7×4)] + 2pi×(6/2)×3

254 + 18pi

254 + 18(3.14)

310.52 ft²

Answer 2

Volume = 336,78 ft³

Surface Area = 367,04 ft²

Note :

l = long

w = wide

h = height

d = diameter

r = radius

V = Volume

SA = Surface Area

Known :

Rectangular prism :

l = 7 ft

w = 4 ft

h = 9 ft

Cylinder :

d = 6 ft

r = ½ d = ½ × 6 = 3 ft

h = 3 ft

Asked :

• V = ...?

• SA = ...?

Answer :

V = V rectangular prism + V cylinder

= (l × w × h) + (πr²t)

= (7 × 4 × 9) + (3,14 × 3² × 3)

= 252 + 84,78

= 336,78 ft³

SA = SA rectangular prism + SA cylinder

= (2 (lw + lh + wh)) + (2πr (r + h))

= (2 (7×4 + 7×9 + 4×9)) + (2 × 3,14 × 3 (3 + 3))

= (2 (28 + 63 + 36)) + (18,84 × 6)

= (2 × 127) + 113,04

= 254 + 113,04

= 367,04 ft²