Multiple choice

Passage

Directions: On the basis of the given information, answer the question. A room with 1 door and 2 windows has 2 tables, 1 freezer and 1 almirah. The dimensions of the door, windows and the objects kept inside the room are given in the table. Sr. No. Object Length Breadth Height 1. Room 13 feet 12 feet 10 feet 2. Table 5 feet 4 feet 4 feet 3. Freezer 4 feet 3 feet 5 feet 4. Almirah 4 feet 3 feet 8 feet 5. Door 6 feet 3 feet 6. Window 4 feet 3 feet

Find the cost of painting of all surfaces of the almirah, if the cost of painting is Rs. 5 per square feet.

  1. Rs. 680

  2. Rs. 480

  3. Rs. 520

  4. Rs. 750

  5. Rs. 620
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A Correct answer
Explanation

The surface area of an almirah (rectangular prism) is 2*(lb + bh + lh). With dimensions 4, 3, 8 feet, the area is 2*(12 + 24 + 32) = 2*68 = 136 square feet. At Rs. 5 per square foot, the cost is 136 * 5 = 680.

AI explanation

An almirah is a closed rectangular cuboid, so its total surface area is calculated using the formula 2(lb + bh + lh). Substituting the given dimensions yields 2((4 times 3) + (3 times 8) + (4 times 8)) = 2(12 + 24 + 32) = 2(68) = 136 square feet. At a painting cost of Rs. 5 per square foot, the total cost is 136 times 5 = Rs. 680.

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