Maths Case Study Questions for Class 8 with Answers

Maths Case Study Questions for Class 8 with Answers (Mensuration)

Chapter: Maths Case Study Questions for Class 8 with Answers

Maths Case Study Questions for Class 8 with Answers provide students with structured problems based on real-life situations. These questions include diagrams, data tables, and stepwise solutions. Moreover, the content follows the latest CBSE guidelines to support effective learning. Students can understand concepts easily through clear explanations.

Important Topics Covered

The study material includes Algebra, Mensuration, Geometry, and Data Handling. Additionally, each case study is designed to improve reasoning skills. This approach helps learners grasp new concepts and apply them confidently in exams.

Benefits for Class 8 Students

These case studies are ideal for revision. Furthermore, they enhance analytical thinking and accuracy. As a result, students build strong fundamentals and perform well in assessments.

Maths Case Study Questions for Class 8 with Answers (Mensuration)

A furniture workshop is designing new storage units for a school. They first plan to create a large wooden board shaped like a **rectangle** with a **length of 50 metres** and a **width of 12 metres**. The board needs polishing, requiring the calculation of its **area**. Next, they build a **cylindrical pillar** with a **radius of 1.5 metres** and a **height of 7 metres**; its **volume** is needed to determine its strength. The school also ordered a special **cuboidal display box** with a **length (l) of 8 metres, width (w) of 6 metres, and height (h) of 4 metres**. They must calculate its **total surface area (TSA)** for decoration. Using mensuration helps the workshop plan materials and estimate costs accurately.

1. What is the area of the rectangular wooden board (Length = 50m, Width = 12m)?

Solution:
Area of rectangle $A = l \times w = 50 \times 12 = 600$ sq m.
Correct answer is option **(b)**.

2. What is the perimeter of the wooden board (Length = 50m, Width = 12m)?

Solution:
Perimeter of rectangle $P = 2(l + w) = 2(50 + 12) = 2 \times 62 = 124$ m.
Correct answer is option **(b)**.

3. What is the volume of the cylindrical pillar (radius $r=1.5$m, height $h=7$m)?

Solution:
Volume of cylinder $V = \pi r^{2}h = \pi \times 1.5^{2} \times 7 = \pi \times 2.25 \times 7 = 15.75\pi$ cubic m.
Correct answer is option **(a)**.

4. What is the total surface area (TSA) of the cuboidal display box (l=8m, w=6m, h=4m)?

Solution:
TSA of cuboid $TSA = 2(lw + wh + lh)$
$TSA = 2((8 \times 6) + (6 \times 4) + (8 \times 4))$
$TSA = 2(48 + 24 + 32) = 2 \times 104 = 208$ sq m.
Correct answer is option **(c)**.

5. Which concept should be used to decorate the outer part of the display box?

Solution:
Decorating the outer part requires covering the external surfaces, which is measured by the **Total Surface Area**.
Correct answer is option **(b)**.

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