What would be the surface area of the prism if the length of each side is cut in half?
A)165 square centimeters
B)178 square centimeters
C)181 square centimeters
D)362 square centimeters

What would be the surface area of the prism if the length of each side is cut in half A165 square centimeters B178 square centimeters C181 square centimeters D3 class=

Respuesta :

11/2 = 5.5

10/2 = 5

12/2 = 6

SA = 5.5 x 5 x 2 + 5.5 x 6 x 2 + 5 x 6 x 2

SA = 55 + 66 + 60

SA = 181

The answer is C) 181 cm²

Correct Option is C , 181 square cms.

l = 11cm

b = 10cm

h = 12cm

Surface Area of Cuboid:

A cuboid has 6  rectangular faces, the surface area of the whole cuboid is the sum of 6 rectangular surface areas of cuboid.

surface area = l x b + b x h + h x l + l x b + b x h + h x l

Surface area of cuboid = 2 x ((l x b) + (b x h) + (h x l))

When the length of each side is cut in half so, l, b and h decreases by 2.

l =  [tex]\frac{l}{2}[/tex] = [tex]\frac{11}{2}[/tex] = 5.5cm

b = [tex]\frac{b}{2}[/tex] = [tex]\frac{10}{2}[/tex] = 5cm

h = [tex]\frac{h}{2}[/tex] = [tex]\frac{12}{2}[/tex] = 6cm

Surface Area of the cuboid = 2 x ((l x b) + (b x h) + (h x l))

=>  2 x ((5.5 x 5) + (5 x 6) + (6 x 5.5))

=> 2 x (27.5 + 30 + 33)

=> 2 x (90.5)

=> 181 [tex]cm^{2}[/tex]

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