Advertisements
Advertisements
प्रश्न
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?
Advertisements
उत्तर
\[\text { The dimension of the log of wood is 3 m} \times 75 cm \times 50 cm, i . e . , 300 cm \times 75 cm \times 50 cm ( \because 3 m = 100 cm) . \]
\[ \therefore \text { Volume = 300 cm }\times 75 cm \times 50 cm = 1125000 {cm}^3 \]
\[\text { It is given that the side of each cubical block of wood is of 25 cm } . \]
\[\text { Now, volume of one cubical block = (side ) }^3 \]
\[ = {25}^3 \]
\[ = 15625 {cm}^3 \]
\[ \therefore \text { The required number of cubical blocks}= \frac{\text { volume of the wood } \log}{\text { volume of one cubical block }}\]
\[ = \frac{1125000 {cm}^3}{15625 {cm}^3}\]
\[ = 72\]
संबंधित प्रश्न
A cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high.
(i) Which box has the greater lateral surface area and by how much?
(ii) Which box has the smaller total surface area and by how much?
There are two cuboidal boxes as shown in the adjoining figure. Which box requires the lesser amount of material to make?
 |
 |
| (a) | (b) |
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.
A cuboidal wooden block contains 36 cm3 wood. If it be 4 cm long and 3 cm wide, find its height.
A swimming pool is 250 m long and 130 m wide. 3250 cubic metres of water is pumped into it. Find the rise in the level of water.
Find the surface area of a cuboid whose length = 6 dm, breadth = 8 dm, height = 10 dm.
The volume of a cube whose surface area is 96 cm2, is
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.
75 persons can sleep in a room 25 m by 9.6 m. If each person requires 16 m3 of the air; find the height of the room.
Find the volume of wood used in making a closed box 22 cm by 18 cm by 14 cm, using a 1 cm thick wood. Also, find the cost of wood required to make the box at the rate of Rs. 5 per cm³ How many cubes of side 2 cm can be placed in the box?
