Advertisements
Advertisements
प्रश्न
A closed rectangular box is made of wood of 1.5 cm thickness. The exterior length and breadth are respectively 78 cm and 19 cm, and the capacity of the box is 15 cubic decimeters. Calculate the exterior height of the box.
Advertisements
उत्तर
Let exterior height is h cm.
Then interior dimensions are 78 – 3 = 75, 19 – 3 = 16 and h – 3 ...(Subtract two thicknesses of wood)
Interior volume = 75 × 16 × (h – 3) which must = 15 cubic decimeters
= 15000 cm3 ...(1 dm = 10 cm, 1 cu dm = 103 cm3)
15000 cm3 = 75 × 16 × (h – 3)
⇒ h – 3 = `15000/(75 xx 16)` = 12.5 cm
⇒ h = 15.5 cm
संबंधित प्रश्न
The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of Rs 7.50 per m2.
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?
How many wooden cubical blocks of side 25 cm can be cut from a log of wood of size 3 m by 75 cm by 50 cm, assuming that there is no wastage?
The dimensions of a cuboid are in the ratio 5 : 3 : 1 and its total surface area is 414 m2. Find the dimensions.
The dimensions of a cinema hall are 100 m, 50 m and 18 m. How many persons can sit in the hall, if each person requires 150 m3 of air?
The external dimensions of a closed wooden box are 27 cm, 19 cm, and 11 cm. If the thickness of the wood in the box is 1.5 cm; find:
- The volume of the wood in the box;
- The cost of the box, if wood costs Rs. 1.20 per cm3;
- A number of 4 cm cubes that could be placed into the box.
If the edge of a cube is 8 cm long, find its total surface area.
The dimensions of a cuboidal box are 6 m × 400 cm × 1.5 m. Find the cost of painting its entire outer surface at the rate of ₹ 22 per m2.
All six faces of a cuboid are ______ in shape and of ______ area.
