Advertisements
Advertisements
प्रश्न
If each edge of a cube is doubled, how many times will its volume increase?
Advertisements
उत्तर
Let, side of cube = l
Then volume of old cube = l3 ...(i)
If each edge of the cube is doubled, then side = 2 × l
Then volume of the new cube = (2l)3 = 8l3 ...(ii)
From equations (i) and (ii)
Volume of new cube = 8 × volume of old cube.
Therefore, in this case, the volume of the cube will become 8 times.
APPEARS IN
संबंधित प्रश्न
If each edge of a cube is doubled, how many times will its surface area increase?
What will happen to the volume of a cube, if its edge is halved ?
A beam 5 m long and 40 cm wide contains 0.6 cubic metre of wood. How thick is the beam?
Find the surface area of a cube whose edge is 3 cm.
Find the surface area of a cube whose edge is 2.1 m.
Three equal cubes are placed adjacently in a row. Find the ratio of the total surfaced area of the resulting cuboid to that of the sum of the total surface areas of the three cubes.
When the length of each side of a cube is increased by 3 cm, its volume is increased by 2457 cm3. Find its side. How much will its volume decrease, if the length of each side of it is reduced by 20%?
The dimensions of a solid metallic cuboid are 72 cm × 30 cm × 75 cm. It is melted and recast into identical solid metal cubes with each edge 6 cm. Find the number of cubes formed.
Also, find the cost of polishing the surfaces of all the cubes formed at the rate Rs. 150 per sq. m.
The volume of a cube is 64 cm3. Its surface area is ______.
A river 2 m deep and 45 m wide is flowing at the rate of 3 km per hour. Find the amount of water in cubic metres that runs into the sea per minute.
