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A cuboid of sides 5 cm, 10 cm and 20 cm are melted to form a new cube. What is the ratio between the total surface area of the cuboid and that of the cube?
6 : 5
7 : 6
11 : 10
9 : 7
- First, calculate the volume of the cuboid: V = 5 cm × 10 cm × 20 cm = 1000 cm³.
- Since the cube has the same volume, find the side length of the cube: s = ³v1000 cm = 10 cm.
- Now, calculate the total surface area of the cuboid: SA_cuboid = 2(5×10 + 10×20 + 20×5) = 700 cm².
- Calculate the total surface area of the cube: SA_cube = 6×(10×10) = 600 cm².
- The ratio of the surface areas is 700:600, which simplifies to 7:6.
Correct Answer: Option 2, 7 : 6
By: Parvesh Mehta ProfileResourcesReport error
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