Mensuration Class 8 Case Study Questions PDF with Answers

Chapter: Mensuration Class 8 Case Study Questions PDF with Answers

Mensuration Class 8 Case Study Questions PDF with Answers helps students understand concepts through clear explanations. These resources include diagrams, solved examples, and structured case-based tasks. Additionally, they follow the CBSE pattern to ensure effective exam preparation and better conceptual clarity.

Key Concepts Covered

The study material includes perimeter, area, and volume questions presented through real-life scenarios. Moreover, stepwise solutions guide students through the reasoning process. This approach supports deeper understanding and stronger analytical skills, which are essential for scoring well.

Benefits for Class 8 Students

These case studies help improve accuracy through diverse problem types. Furthermore, they are easy to practice and convenient for revision. As a result, students gain confidence and perform effectively in school assessments.

Mensuration Class 8 Case Study Questions PDF with Answers

A farmer plans to redesign a portion of his land to improve storage and irrigation. He marks a **rectangular area** to build a grains platform where harvested crops will be dried. The **length of this platform is 32 metres** and the **width is 18 metres**. He wants to cover the entire platform with cement, so calculating the **area** is necessary. Near the platform, he installs a **cylindrical water container** with a **radius of 2 metres** and a **height of 4 metres** to collect rainwater, requiring the **volume** to be known. Next, he plans to build a small **cubical shed** with a **side of 5 metres** for tools and fertilizers. He wants to paint the outer surfaces, so finding the **total surface area (TSA)** is important. By using mensuration, the farmer can calculate materials, cost, and storage capacity accurately.

1. What is the area of the rectangular grains platform (Length = 32m, Width = 18m)?

Solution:
Area of rectangle $A = l \times w = 32 \times 18 = 576$ sq m.
Correct answer is option **(c)**.

2. What is the perimeter of the grains platform (Length = 32m, Width = 18m)?

Solution:
Perimeter of rectangle $P = 2(l + w) = 2(32 + 18) = 2 \times 50 = 100$ m.
Correct answer is option **(c)**.

3. What is the volume of the cylindrical water container (radius $r=2$m, height $h=4$m)?

Solution:
Volume of cylinder $V = \pi r^{2}h = \pi \times 2^{2} \times 4 = \pi \times 4 \times 4 = 16\pi$ cubic m.
Correct answer is option **(a)**.

4. What is the total surface area (TSA) of the cubical shed (side $a=5$m)?

Solution:
TSA of cube $TSA = 6a^{2} = 6 \times 5^{2} = 6 \times 25 = 150$ sq m.
Correct answer is option **(c)**.

5. Which measurement will help the farmer calculate the amount of paint needed for the cubical shed?

Solution:
Painting covers all the outer faces, which is determined by the **Total Surface Area**.
Correct answer is option **(c)**.

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