Advertisements
Advertisements
प्रश्न
Three cubes of metal whose edges are 6 cm, 8 cm and 10 cm respectively are melted to form a single cube. The edge of the new cube is ______.
विकल्प
12 cm
24 cm
18 cm
20 cm
उत्तर
Three cubes of metal whose edges are 6 cm, 8 cm and 10 cm respectively are melted to form a single cube. The edge of the new cube is 12 cm.
Explanation:
The edges of three cubes are 6 cm, 8 cm and 10 cm, respectively.
∴ Sum of volumes of the three metal cubes
= 63 + 83 + 103 ...[∵ Volume of cube = (edge)3]
= 216 + 512 + 1000
= 1728 cm3
Since, a new cube is formed by melting these three cubes.
Let a be the side of new cube. Then,
Volume of the new cube = Sum of volumes of three metal cubes
⇒ a3 = 1728
∴ a = 12 cm
Hence, the edge of the new cube is 12 cm.
APPEARS IN
संबंधित प्रश्न
Find the volume of a cube whose side is 5 cm
Find the volume of a cube whose side is 3.5 m
A cubical milk tank can hold 125000 litres of milk. Find the length of its side in metres
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? ______
So the total cm cubes = ______
A metal sheet 27 cm long, 8 cm broad and 1 cm thick is melted into a cube. The side of the cube 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 ______.
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?
