Test Index
TGTET Paper 1 Exam 23 Jul 2017 Paper
© examsnet.com
Question : 99 of 150
Marks:
+1,
-0
If each edge of a cube is doubled, then its volume becomes ______
Solution:
Concept:The volume of a cube is directly proportional to the cube of its side length.Explanation:Let's consider a cube with an initial side length. We can represent this initial side length using a variable.Let the initial side length of the cube be .The initial volume of the cube, , is given by the formula: .Now, the problem states that each edge of the cube is doubled. So, the new side length becomes .The new volume of the cube, , will be: .Calculating this, we get: .To find out how many times the volume has increased, we compare the new volume to the initial volume:Ratio of new volume to initial volume = .Simplifying this ratio, we get .This means the new volume is 8 times the initial volume.Answer:8 times
© examsnet.com
Go to Question: