Advertisements
Advertisements
Question
If the length of each edge of a cube is tripled, what will be the change in its volume?
Advertisements
Solution
Let the edge of a cube be a.
If edge of the cube became tripled i.e. a = 3 × a = 3a
... Volume of the cube = a3
... Volume of the cube with edge tripled = (3a)3 = 27a3
Hence, volume is 27 times of the original volume.
APPEARS IN
RELATED QUESTIONS
Find the volume of a cube whose side is 5 cm
Find the volume of a cube whose side is 21 cm
Answer Thimpu's questions:
- To make the first layer on the table how many cm cubes will I use? ______
- How many such layers will I need to make a cube? ______
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.
- What is your guess? Who is right?
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.
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.
The volume of a cube whose edge is 3x is ______.
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 ______.
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 ______.
What will happen to the volume of the cube, if its edge is reduced to one-fourth?
