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 ______.
विकल्प
6 cm
8 cm
12 cm
24 cm
Advertisements
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
The capacity of a water tank of dimensions 10 m × 5 m × 1.5 m is
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? ______
Anan made a big cube having double the side of your paper cube. How many of your paper cubes will fit in it? Try doing it by collecting all the cubes made in your class.
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.
Use Ganesh's method and write:
- _____ centimeter cubes can be arranged in box B.
- _____ centimeter cubes can be arranged in box C.
- So _____ centimeter cubes in all can be packed in the three boxes.
A cube of side 4 cm is painted on all its sides. If it is sliced in 1 cubic cm cubes, then number of such cubes that will have exactly two of their faces painted is ______.
A cube of side 5 cm is cut into 1 cm cubes. The percentage increase in volume after such cutting is ______.
A wooden box (including the lid) has external dimensions 40 cm by 34 cm by 30 cm. If the wood is 1 cm thick, how many cm3 of wood is used in it?
What will happen to the volume of the cube, if its edge is tripled?
What will happen to the volume of the cube, if its edge is reduced to one-fourth?
