Mensuration Class 8 Case Study Questions with Solutions (Free PDF)

Chapter: Mensuration Class 8 Case Study Questions with Solutions

Mensuration Class 8 Case Study Questions with Solutions provide clear explanations that help students understand concepts through real-life applications. These case study sets include diagrams, structured data, and guided steps. Moreover, they support exam-oriented preparation and improve accuracy.

Important Concepts Covered

Students can revise perimeter, area, and volume through practical scenarios. Additionally, solved examples make concepts easier, and each question encourages analytical thinking. Because the problems follow the CBSE pattern, they help learners prepare confidently for school exams.

Benefits of Using These Case Studies

These case studies improve understanding by offering structured solutions. Furthermore, they enhance visual interpretation skills and promote deeper problem-solving techniques. As a result, students gain strong conceptual clarity and improved performance in assessments.

Mensuration Class 8 Case Study Questions

A school is planning to build a small activity park for Grade 8 students. The park will have three main sections. The first section is a **rectangular walking track** with a **length of 45 metres** and **width of 20 metres**. The school needs to calculate the perimeter for tiling the boundary. The second section contains a **cylindrical water tank** with a **radius of 3 metres** and a **height of 5 metres**. The school wants to calculate the volume to know its capacity. The third section has a **cuboidal storage room** with **length (l) 6 metres, width (w) 4 metres, and height (h) 3 metres**. The school wants to paint the outer surface, requiring the total surface area. By using the concepts of mensuration, the school can plan the cost and material needed for each part of the park.

1. What is the perimeter of the rectangular walking track (Length = 45m, Width = 20m)?

Solution:
Perimeter of rectangle $P = 2(l + w) = 2(45 + 20) = 2 \times 65 = 130$ m.
Correct answer is option **(b)**.

2. What is the area of the walking track (Length = 45m, Width = 20m)?

Solution:
Area of rectangle $A = l \times w = 45 \times 20 = 900$ sq m.
Correct answer is option **(b)**.

3. What is the volume of the cylindrical water tank (radius $r=3$m, height $h=5$m)?

Solution:
Volume of cylinder $V = \pi r^{2}h = \pi \times 3^{2} \times 5 = 9\pi \times 5 = 45\pi$ cubic m.
Correct answer is option **(b)**.

4. What is the total surface area (TSA) of the cuboidal room (l=6m, w=4m, h=3m)?

Solution:
TSA of cuboid $TSA = 2(lw + wh + lh)$
$TSA = 2((6 \times 4) + (4 \times 3) + (6 \times 3))$
$TSA = 2(24 + 12 + 18) = 2 \times 54 = 108$ sq m.
Correct answer is option **(a)**.

5. Which mensuration concept helps in deciding the amount of paint needed for the storage room?

Solution:
Painting covers the entire **outer surface**, which is measured by the **Total Surface Area**.
Correct answer is option **(c)**.

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