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can someone please help me with this

Topic= Surface area of prisms and cylinders

i keep getting the wrong answers

My working is incorrect please help me.

ANSWERS ARE FOR 4) 1234.10 AND 5)532.00​


Can Someone Please Help Me With ThisTopic Surface Area Of Prisms And Cylindersi Keep Getting The Wrong AnswersMy Working Is Incorrect Please Help MeANSWERS ARE class=

Sagot :

Step-by-step explanation:

4)

the surface area is

top and bottom : 2× pentagon (5 sides)

sides : 5× rectangle 14×8 ft²

let's start with the easiest : the rectangles.

5 × 14×8 = 560 ft²

the area of a pentagon is similar to any regular polygon :

n × triangle of side×height (to middle of pentagon) / 2

n = number of sides (5 in our case).

the middle or center of the pentagon is the top vertex of each triangle.

so,

5 × 14×9.63 / 2 = 5 × 7 × 9.63 = 337.05 ft²

and we have 2 of them (top and bottom), so

2×337.05 = 674.1 ft³

in total the surface area is

560 + 674.1 = 1,234.1 ft²

5)

6 sides :

top and bottom : 7×14 rectangle

left and right : 7×8 rectangle

front and back : 8×14 rectangle

so, we have

2× 7×14 = 196 mm²

2× 7×8 = 112 mm²

2× 8×14 = 224 mm²

in total that is : 532 mm²