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  9. Q289

RRB Group D (Level-1 posts) 2022 · Question 289 of 598

A cuboid with dimensions 18.5 cm × 12.5 cm × 10 cm needs to be painted all over. Find the area to be painted.

  1. A1157.5 cm2
  2. B1198 cm2
  3. C984.56 cm2
  4. D1082.5 cm2Correct

Answer: D. 1082.5 cm2

Explanation

To find the area to be painted, we need to calculate the surface area of the cuboid. Given Dimensions: Length ( l ) = 18.5 cm Breadth ( b ) = 12.5 cm Height ( h ) = 10 cm Formula for the Surface Area of a Cuboid: Surface Area = 2(lb + bh + lh) Step 1: Substitute the given values: Surface Area = 2(18.5 × 12.5 + 12.5 × 10 + 18.5 × 10) Step 2: Calculate each term inside the parentheses: 18.5 × 12.5 = 231.25 12.5 × 10 = 125 18.5 × 10 = 185 Step 3: Add the results: 231.25 + 125 + 185 = 541.25 Step 4: Multiply by 2 to get the total surface area: Surface Area = 2 × 541.25 = 1082.5 cm² Answer: The area to be painted is 1082.5 cm².

Source: RRB Group D 2022 Prev. Yr. Paper (17 Aug 2022) (Shift 3) - Prepp · reliable-secondary

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