Advertisements
Advertisements
Question
If each edge of a cube is doubled, how many times will its surface area increase?
Advertisements
Solution
Let the side of cube = l
Then surface area of the old cube = 6l2 ...(i)
If each edge of the cube is doubled, then side = 2 × l
Then surface area of the new cube = 6(2l)2 = 6 × 4l2
= 4 × 6l2 ...(ii)
From equations (i) and (ii),
Surface area of new cube = 4 × surface area of old cube
Therefore, in this situation, the surface area of the cube will increase four times.
APPEARS IN
RELATED QUESTIONS
Find the volume of a cube whose side is 1.2 m .
What will happen to the volume of a cube, if its edge is trebled?
Find the volume in cubic decimetre of the cube whose side is 2 dm 5 cm .
Fill in the blank in the following so as to make the statement true:
The volume of a wooden cuboid of length 10 cm and breadth 8 cm is 4000 cm3. The height of the cuboid is ........ cm.
Fill in the blank in the following so as to make the statement true:
1 ml = ........ cu. cm
Side of a cube is 4.5 cm. Find the surface area of all vertical faces and total surface area of the cube.
Four identical cubes are joined end to end to form a cuboid. If the total surface area of the resulting cuboid as 648 m2; find the length of the edge of each cube. Also, find the ratio between the surface area of the resulting cuboid and the surface area of a cube.
A solid cube of side 12 cm is cut into 8 identical cubes. What will be the side of the new cube? Also, find the ratio between the surface area of the original cube and the total surface area of all the small cubes formed.
The total surface area of a cube is 294cm2. Find its volume.
One side of a cubic box is 0.4 m. How much will it cost to paint the outer surface of the box at the rate of 50 rupees per sqm?
