CUET Ug 2022 General Test Question 2
This is a detailed step-by-step solution for CUET Ug 2022 General Test Question 2. Understand the concept, common mistakes, and expert tips to solve similar questions in CUET exam.
CUET UG 2022 - General Test
If each side of a cube is reduced by 50%, it means that the new length of each side will be 50% of the original length.
In other words, the new length will be half of the original length.
Let's assume the original length of each side of the cube is "x"
After reducing each side by 50%, the new length of each side will be 0.5x
The surface area of a cube is given by the formula: 6 × (side length)2
The original surface area of the cube is:
A1 = 6 × x2
The new surface area of the cube after reducing each side by 50% is:
A2 = 6 × (0.5x)2 = 6 × (0.25x2) = 1.5x2
To calculate the reduction in surface area, we can compare the original surface area to the new surface area:
Reduction in surface area = (A1 - A2)/A1 × 100%
Substituting the values:
Reduction in surface area = (6x2 - 1.5x2)/6x2 × 100%
Reduction in surface area = (4.5x2)/6x2 × 100%
Reduction in surface area = 0.75 × 100%
Reduction in surface area = 75%
Therefore, if each side of a cube is reduced by 50%, the surface area will be reduced by 75%.