Two cubes of the sides 3m, 4m, and 5m are melted to form a new cube. The side of the new cube isChoices:- 12m 10m 8m 6m
Question
Two cubes of the sides 3m, 4m, and 5m are melted to form a new cube. The side of the new cube isChoices:- 12m 10m 8m 6m
Solution
The volume of a cube is given by the formula V = a^3, where a is the side length of the cube.
First, we need to find the volume of the two original cubes.
The volume of the first cube is 3m * 3m * 3m = 27 cubic meters.
The volume of the second cube is 4m * 4m * 4m = 64 cubic meters.
The volume of the third cube is 5m * 5m * 5m = 125 cubic meters.
When these cubes are melted to form a new cube, the volume of the new cube is the sum of the volumes of the original cubes.
So, the volume of the new cube is 27 cubic meters + 64 cubic meters + 125 cubic meters = 216 cubic meters.
To find the side length of the new cube, we take the cube root of the volume.
The cube root of 216 is 6.
So, the side length of the new cube is 6m.
Therefore, the correct answer is 6m.
Similar Questions
A metal cube of side 5cm is hammered into a square sheet of thickness 0.2cm. The side of the sheet isChoices:- 100cm 50cm 25cm 20 cm
A cube measuring 2 cm on each side is made from 8 equal cubes.What is the volume of one of the small cubes?
The length of each edge of a cube was made 5 times larger.How much larger did the volume become?
125 small but identical cubes have been put together to form a large cube. This larger cube is now painted in all 6 faces.How many of the smaller cubes have exactly three faces painted?a.4b.8c.27d.9
A solid metallic cube is melted to form five solid cubes whose volumes are in the ratio 1 : 1 : 8: 27: 27. The percentage by which the sum of the surface areas of these five cubes exceeds the surface area of the original cube is nearest to10506020
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.