Advertisements
Advertisements
Question
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 ______.
Options
12 cm
24 cm
18 cm
20 cm
Advertisements
Solution
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
RELATED QUESTIONS
Find the volume of a cube whose side is 5 cm
Find the volume of a cube whose side is 3.5 m
The capacity of a water tank of dimensions 10 m × 5 m × 1.5 m is
Find the number of bricks of dimension 20 cm × 5 cm × 10 cm required to construct a wall of dimension 300 cm × 200 cm × 20 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
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.
The volume of a cube whose edge is 3x is ______.
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 ______.
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?
