Question

A wooden cuboidal box has the external dimensions 3.5m, 2m and 1.5m. All the sides of
the box are to be painted. Find the area of the box that needs to be painted.

Answer 1

Answer:

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Step-by-step explanation:

It is given that, length (l) of box = 1.5 m

Breadth (b) of box = 1.25 m

Depth (h) of box = 0.65 m

(i) Box is to be open at top.

Area of sheet required

= 2lh + 2bh + lb

= [2 × 1.5 × 0.65 + 2 × 1.25 × 0.65 + 1.5 × 1.25] m2

= (1.95 + 1.625 + 1.875) m2 = 5.45 m2

(ii) Cost of sheet per m2 area = Rs 20

Cost of sheet of 5.45 m2 area = Rs (5.45 × 20)

= Rs 109

Answer 2

Answer:

30.5m²

Step-by-step explanation:

Surface Area of Cuboid = 2 × (lb + bh + lh)

Given Dimensions,

Length = 3.5m

Breadth = 2m

Height = 1.5m

Therefore,

SA = 2{ (3.5×2) + (2×1.5) + (3.5×1.5) }

= 2 (7 + 3 + 5.25)

= 2 × 15.25

=30.5m²