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The perimeter of floor of rectangular hall is 250m. The cost of the white washing its four walls is Rs. 15000. The height of the room is
The perimeter of the floor of the rectangular hall is given as 250m. This means: Perimeter = 2(l + b) = 250m, where l is the length and b is the breadth of the floor. From this, we can calculate: l + b = 250 / 2 = 125m. The lateral surface area (LSA) of the four walls is given by: LSA = 2h(l + b), wRead more
The perimeter of the floor of the rectangular hall is given as 250m. This means:
Perimeter = 2(l + b) = 250m,
where l is the length and b is the breadth of the floor.
From this, we can calculate:
l + b = 250 / 2 = 125m.
The lateral surface area (LSA) of the four walls is given by:
LSA = 2h(l + b),
where h is the height of the room.
Substituting l + b = 125 into the formula, we get:
LSA = 2h(125) = 250h.
The total cost of whitewashing is Rs. 15000, and the cost per square meter is assumed to be Rs. 10 (as it is a standard rate in such problems unless specified otherwise). Thus:
Cost = LSA × Rate,
15000 = 250h × 10.
Simplify to find h:
15000 = 2500h,
h = 15000 / 2500 = 6m.
Thus, the height of the room is 6m, which corresponds to option c) 6m.
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The surface area of a cuboid is
The surface area of a cuboid is calculated by summing up the areas of all six rectangular faces. A cuboid has three pairs of opposite faces, and the area of each pair is as follows: 1. Two faces with area lb (length × breadth), 2. Two faces with area bh (breadth × height), 3. Two faces with area lhRead more
The surface area of a cuboid is calculated by summing up the areas of all six rectangular faces. A cuboid has three pairs of opposite faces, and the area of each pair is as follows:
1. Two faces with area lb (length × breadth),
2. Two faces with area bh (breadth × height),
3. Two faces with area lh (length × height).
Thus, the total surface area is given by:
Surface Area = 2(lb) + 2(bh) + 2(lh)
Factoring out the common factor of 2, we get:
Surface Area = 2(lb + bh + lh)
This matches option a) 2(lb + bh + lh), which is the correct formula for the surface area of a cuboid.
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What is the importance of Class 9 Mathematics Chapter 2 MCQ?
The importance of Class 9 Mathematics Chapter 2 (Polynomials) MCQs lies in their ability to reinforce a student's understanding of key concepts such as types of polynomials, degrees, coefficients, zeroes, and operations like addition, subtraction, multiplication, and division of polynomials. These MRead more
The importance of Class 9 Mathematics Chapter 2 (Polynomials) MCQs lies in their ability to reinforce a student’s understanding of key concepts such as types of polynomials, degrees, coefficients, zeroes, and operations like addition, subtraction, multiplication, and division of polynomials. These MCQs help students assess their grasp of fundamental theorems like the Remainder Theorem and Factor Theorem while improving problem-solving speed and accuracy. Practicing these questions enhances algebraic manipulation skills and prepares students for exams by familiarizing them with various question patterns. Mastering this chapter through MCQs also builds a strong foundation for advanced algebraic topics in higher classes, making it crucial for both academic success and conceptual clarity.
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What is the importance of Class 9 Mathematics Chapter 1 MCQ?
The importance of Class 9 Mathematics Chapter 1 (Number Systems) MCQs lies in their ability to strengthen a student's understanding of fundamental concepts like rational and irrational numbers, real numbers, decimal expansions, and operations involving them. These MCQs help students assess their knoRead more
The importance of Class 9 Mathematics Chapter 1 (Number Systems) MCQs lies in their ability to strengthen a student’s understanding of fundamental concepts like rational and irrational numbers, real numbers, decimal expansions, and operations involving them. These MCQs help students assess their knowledge of number representation on the number line, laws of exponents, and the classification of numbers. Practicing these questions enhances numerical reasoning, logical thinking, and problem-solving skills while preparing students for exams by improving speed and accuracy. Mastering this chapter through MCQs builds a strong foundation for advanced mathematical topics like algebra, geometry, and calculus, making it essential for both academic success and a deeper understanding of mathematics.
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What is the importance of Class 9 Mathematics Chapter 12 MCQ?
The importance of Class 9 Mathematics Chapter 12 (Heron’s Formula) MCQs lies in their ability to reinforce a student's understanding of calculating the area of triangles and quadrilaterals using Heron’s Formula. These MCQs help students assess their ability to apply the formula accurately, especiallRead more
The importance of Class 9 Mathematics Chapter 12 (Heron’s Formula) MCQs lies in their ability to reinforce a student’s understanding of calculating the area of triangles and quadrilaterals using Heron’s Formula. These MCQs help students assess their ability to apply the formula accurately, especially when dealing with the lengths of sides and semi-perimeters. Practicing these questions enhances problem-solving skills, logical reasoning, and the ability to handle real-life applications involving area calculations. Additionally, MCQs improve exam preparedness by familiarizing students with various question patterns while building a strong foundation for geometry and mensuration topics in higher classes. Mastering this chapter ensures students can confidently tackle complex problems requiring precision and conceptual clarity.
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