Advertisements
Advertisements
Question
Mary wants to decorate her Christmas tree. She wants to place the tree on a wooden block
covered with coloured paper with picture of Santa Claus on it. She must know the exact
quantity of paper to buy for this purpose. If the box has length, breadth and height as 80
cm, 40 cm and 20 cm respectively. How many square sheets of paper of side 40 cm would
she require?
Advertisements
Solution
Given that mary wants to paste the paper on the outer surface of the box; The quantity of
the paper required would be equal to the surface area of the box which is of the shape of
cuboid. The dimension of the box are
Length (l)=80cm Breath (b) = 40 cm and height (h) 20cm
The surface area of thee box = 2[lb+bh+hl]
`=2[80(40)+40(20)+20(80)]`
`2(5600)=11,200cm^2`
The area of the each sheet of paper`=40xx40cm^2`
`=1600cm^2`
∴Number of sheets required =
`("surface areaa of box")/("area of one sheet of paper ")`
`=(11,200)/1600=7`
APPEARS IN
RELATED QUESTIONS
Find the number of cuboidal boxes measuring 2 cm by 3 cm by 10 cm which can be stored in a carton whose dimensions are 40 cm, 36 cm and 24 cm.
Find the volume in cubic metre (cu. m) of the cuboid whose dimensions is length = 12 m, breadth = 10 m, height = 4.5 cm.
How many bricks each of size 25 cm × 10 cm × 8 cm will be required to build a wall 5 m long, 3 m high and 16 cm thick, assuming that the volume of sand and cement used in the construction is negligible?
A classroom is 7 m long, 6 m broad and 3.5 m high. Doors and windows occupy an area of 17 m2. What is the cost of white-washing the walls at the rate of Rs 1.50 per m2.
The dimensions of a rectangular box are in the ratio of 2 : 3 : 4 and the difference between the cost of covering it with sheet of paper at the rates of Rs 8 and Rs 9.50 per m2 is Rs. 1248. Find the dimensions of the box.
Find the capacity of a cylindrical container with an internal diameter of 28 cm and a height of 20 cm.
A cuboidal tin box opened at the top has dimensions 20 cm × 16 cm × 14 cm. What is the total area of metal sheet required to make 10 such boxes?
Three cubes each of side 10 cm are joined end to end. Find the surface area of the resultant figure.
