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Byju's Answer
Standard IX
Mathematics
Total Surface Area of a Cuboid
An open box i...
Question
An open box is made of 3cm thick. Its external length, breadth, and hights are 1.48 m, 1.16m, 8.3dm. Find the cost of painting the inner surface at 50 p per 100
c
m
2
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Solution
Thickness of wood = 3 cm
External dimensions :
Length = 1.48 m = 148 cm
Breadth = 1.16 m = 116 cm
Height = 8.3 dm = 83 cm
Now,
Inner length = Outer length - twice width = 148 - 6= 142 cm
Breadth = 110 cm
Height = 80 cm [ since it is open box]
Area of inner surface =
2
(
l
b
+
b
h
+
h
l
)
−
l
b
=
2
[
142
×
100
+
110
×
80
+
80
×
142
]
−
[
142
×
110
]
=
55940
sq. cm
Cost of painting inner surface =
R
s
.
50
100
×
55940
100
=
R
s
.
279.90
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Q.
An open box is made of wood 3 cm thick, its external length, breadth and height are 1.48 m, 1.16 m and 8.3 dm. Find the cost of painting the inner surface of Rs 50 per sq. metre.