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
Ravish wanted to make a temporary shelter for his car by making a box-like structure with tarpaulin that covers all the four sides and the top of the car ( with the front face as a flap which can be rolled up). Assuming that the stitching margins are very small, and therefore negligible, how much tarpaulin would be required to make the shelter of height 2.5 m with
base dimensions 4 m × 3m?
Find the weight of solid rectangular iron piece of size 50 cm × 40 cm × 10cm, if 1 cm3 of iron weighs 8 gm.
A cuboidal block of silver is 9 cm long, 4 cm broad and 3.5 cm in height. From it, beads of volume 1.5 cm3 each are to be made. Find the number of beads that can be made from the block.
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.
A tea-packet measures 10 cm × 6 cm × 4 cm. How many such tea-packets can be placed in a cardboard box of dimensions 50 cm × 30 cm × 0.2 m?
A rectangular water reservoir contains 105 m3 of water. Find the depth of the water in the reservoir if its base measures 12 m by 3.5 m.
The sum of the length, breadth and depth of a cuboid is 19 cm and its diagonal is ` 5 sqrt(5)` cm. Its surface area is
How much sheet metal is required to make a closed rectangular box of length 1.5 m, breadth 1.2 m, and height 1.3 m?
The dimensions of a hall is 10 m × 9 m × 8 m. Find the cost of white washing the walls and ceiling at the rate of ₹ 8.50 per m2
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.
