Advertisements
Advertisements
प्रश्न
A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The side of the cube is ______.
पर्याय
6 cm
8 cm
12 cm
24 cm
उत्तर
A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The side of the cube is 6 cm.
Explanation:
Given, a metal sheet 27 cm long, 8 cm broad and 1 cm thick.
Then, volume of the sheet (cuboidal) = l × b × h
= 27 × 8 × 1
= 216 cm3
Now, since this sheet is melted to form a cube of edge length a (say).
Then, volume of the cube = Volume of the metal sheet
⇒ a3 = 216 cm3
⇒ a = 6 cm
Hence, the side of the cube is 6 cm.
APPEARS IN
संबंधित प्रश्न
Find the volume of a cube whose side is 5 cm
How many sack of dimension 15 cm × 45 cm × 90 cm filled with rice can be kept in a room of dimension 3 m × 18 m × 9 m
How many centimetre cubes can be arranged along its:
Length? ______
Width? ______
Height? ______
Ganesh and Dinga want to pack 4000-centimeter cubes inboxes. These are to be sent to a school. There are three different boxes available for packing.
- How can Ganesh and Dinga test their guesses before packing the cubes in the boxes? Discuss with your friend.
Two cubes have volumes in the ratio 1 : 64. The ratio of the area of a face of first cube to that of the other is ______.
A cube of side 5 cm is cut into 1 cm cubes. The percentage increase in volume after such cutting is ______.
If a cube fits exactly in a cylinder with height h, then the volume of the cube is ______ and surface area of the cube is ______.
If the length of each edge of a cube is tripled, what will be the change in its volume?
How many cubes each of side 0.5 cm are required to build a cube of volume 8 cm3?
What will happen to the volume of the cube, if its edge is reduced to one-fourth?
