Advertisements
Advertisements
प्रश्न
If each edge of a cube is doubled, how many times will its surface area increase?
Advertisements
उत्तर
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
संबंधित प्रश्न
Find the volume of a cube whose side is 1.2 m .
Suppose that there are two cubes, having edges 2 cm and 4 cm, respectively. Find the volumes V1and V2 of the cubes and compare them.
Find the volume in cubic decimetre of the cube whose side is 75 cm.
Fill in the blank in the following so as to make the statement true:
1 litre = ....... cubic decimetre
Find the volume of a cube whose surface area is 96 cm2.
Three cubes whose edges measure 3 cm, 4 cm, and 5 cm respectively are melted to form a new cube. Find the surface area of the new cube formed.
Find the length of 13.2 kg of copper wire of diameter 4 mm, when 1 cubic cm of copper weighs 8.4 gm.
The edges of three solid cubes are 6 cm, 8 cm, and 10 cm. These cubes are melted and recast into a single cube. Find the edge of the resulting cube.
If the total surface area of a cube is 2400 cm2 then, find its lateral surface area
The total surface area of a cube is 96 cm2. The volume of the cube is ______.
