Question

If x = 4 and the builder wants to paint the entire inner portion(including roof) of the
sump, what is the total area to be painted
(a) 52 m2
(b) 96 m2
(c) 208 m2
(d) 104 m2​

Answer 1

Step-by-step explanation:

Entire portion of the roof including will the total surface area of the cuboid as roof we are considering is cuboidal in shape.

TSA of cuboid = 2(lb + bh + lh)

Consider x as the length and breadth

lenght = 4+1

breadth = 4+2

height = 4-2

2{(5 x 6) + (6x2) + (5x2)}

Therefore

TSA = 104$m^{2}$

Answer 2

Answer: (d) 104 m2

Step-by-step explanation:

Concept : Entire portion of the roof will include the total surface area of the cuboid .

Solution :

TSA of cuboid = 2(lb + bh + lh)

where,

l = length

b = breadth

h = height

∴ Total surface area = 2 ((4 + 1)(4 + 2) + (4 + 2)(4 - 2) + (4 - 2)(4 + 1))

                                  = 2 ((5 *6) + (6 * 2) + (2 * 5))

                                  = 2 (30 + 12 + 10)

                                  = 2 (52)

                                  = 104 $m^{2}$

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