Match List-I with List-II
Choose the correct answer from the options given below: |
(A)-(I), (B)-(II), (C)-(III), (D)-(IV) (A)-(II), (B)-(III), (C)-(IV), (D)-(I) (A)-(III), (B)-(IV), (C)-(I), (D)-(II) (A)-(IV), (B)-(I), (C)-(II), (D)-(III) |
(A)-(III), (B)-(IV), (C)-(I), (D)-(II) |
The correct answer is Option (3) → (A)-(III), (B)-(IV), (C)-(I), (D)-(II)
(A) Surface area of Cube: A cube has 6 faces, each being a square with area $a^2$. Therefore, the total surface area is $6a^2$. Matches with (III) (B) Volume of Right pyramid: The volume of any pyramid is defined as one-third of the product of its base area and its perpendicular height. Matches with (IV) (C) Area of Circular Ring: A ring is the area between two concentric circles. It is calculated by subtracting the area of the inner circle ($\pi r^2$) from the outer circle ($\pi R^2$), which gives $\pi(R^2 - r^2)$. Matches with (I) (D) Diagonal of Square: Using the Pythagorean theorem ($a^2 + a^2 = d^2$), the diagonal of a square with side $a$ is $\sqrt{2a^2}$, which simplifies to $a\sqrt{2}$. Matches with (II) |