Geetha planned to make a Jewelry box to gift to her friend seethe on her birthday . She made the jewelry
box of wood in shape of a cuboid . The jewelry box has dimension as shown in the figure below. The rate of
painting the exterior of the box is rupees 2 per cm2
. after making the box she took help from her friends to
decorate the box. The blue colour was painted by Deepak, black colour by Pradeep , green colour by Akash
and yellow colour was painted by Utsav
Answers
Given : Jewelry box of wood in shape of a cuboid 40 * 30 * 20 cm
The rate of painting the exterior of the box is rupees 2 per cm²
To Find :
(i) volume of box
(ii) area Pradeep paint
(iii) area Deepak paint
(iv) amount Akash charge
(v) amount Geeta pay for painting
Solution:
Length of cuboid box = 40 cm .
Breadth = 30 cm.
Height = 20 cm.
then,
Volume of box = Length * Breadth * height
= 40 * 30 * 20
= 24000 cm³
Area Painted by Deepak (Blue colour )
= Area of FEGH + Area of ABDC
= 30 * 20 + 30 * 20
= 600 + 600
= 1200 cm²
Area Painted by Pradeep (Black colour )
Area of AGHB
= 40 * 30
= 1200 cm²
Area Painted by Akash ( Green colour)
Area of ACFG
= 40 * 20
= 800 cm²
The amount Akash charged = 800 * 2 = Rs. 1600
Total amount Geeta Paid for painting = 2 * 1200(Black) + 2 * 1200(Blue) + 1600(Green) + 2 * 800(Yellow)
= 2400 + 2400 + 1600 + 1600
= Rs.8000
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