Advertisements
Advertisements
Question
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 m. Find the cost of painting the inner surface of Rs 50 per sq. metre.
Advertisements
Solution
Given
Length =1.48m=148cm.
Breath =1.16m =116 cm
Height = 8.3m = 83cm
Thickness of wood = 3cm
∴ inner dimensions:
Length (148 - 2 x 3)cm = 142cm
Breadth (116 - 2 x 3) cm = 110cm
Height= (83 - 3) cm = 80cm.
Inner surface area = 2 (l + b) + lb
`=2[(142)+100)80+142xx110cm^2]`
`2(252)[80]+142xx110cm^2=55,940cm^2`
`=559.40m^2`
Hence, cost of painting inner surface area
`=5,5940xxRs.50`
`=Rs.279.70`
APPEARS IN
RELATED QUESTIONS
Find the ratio of the total surface area and lateral surface area of a cube.
A 4 cm edge cube is cut into 1 cm edge cubes. Calculate the total surface area of all the small cubes.
How much clay is dug out in digging a well measuring 3 m by 2 m by 5 m?
The areas of three adjacent faces of a cuboid are x, y and z. If the volume is V, prove that V2 = xyz.
The external dimensions of a closed wooden box are 48 cm, 36 cm, 30 cm. The box is made of 1.5 cm thick wood. How many bricks of size 6 cm × 3 cm × 0.75 cm can be put in this box?
If each edge of a cube is increased by 50%, the percentage increase in its surface area is
Find the volume of wood required to make a closed box of external dimensions 80 cm, 75 cm, and 60 cm, the thickness of walls of the box being 2 cm throughout.
Find the curved surface area and the total surface area of a right circular cylinder whose height is 15 cm and the diameter of the cross-section is 14 cm.
The curved surface area and the volume of a toy, cylindrical in shape, are 132 cm2 and 462 cm3 respectively. Find, its diameter and its length.
External dimensions of a closed wooden box are in the ratio 5:4:3. If the cost of painting its outer surface at the rate of Rs 5 per dm2 is Rs 11,750, find the dimensions of the box.
