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
Describe how the two figures at the right are alike and how they are different. Which box has larger lateral surface area?
Find the volume of a cube whose side is 25 mm .
Find the surface area of a cube whose edge is 27 cm.
Find the surface area of a cube whose volume is 216 dm3.
Find the surface area of a wooden box whose shape is of a cube, and if the edge of the box is 12 cm.
The volume of a cube is 729 cm3. Find its total surface area.
A square plate of side 'x' cm is 8 mm thick. If its volume is 2880 cm3; find the value of x.
Find the T.S.A and L.S.A of the cube whose side is 8 m
If the lateral surface area of a cube is 600 cm2, then the total surface area is
A cube of side 5 cm is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the original cube to that of the sum of the surface areas of the smaller cubes?
