Mensuration Class 8 Case Study Questions MCQ & Solutions (PDF)

Mensuration Class 8 Case Study Questions MCQ & Solutions

Mensuration Class 8 Case Study Questions MCQ & Solutions provides students with structured case-based problems. These include multiple-choice questions, diagrams, and step-by-step solutions. Moreover, the content follows the CBSE competency-based pattern. Students can revise key concepts quickly and practice regularly to improve accuracy.

Topics Included in the Study Material

The material covers perimeter, area, surface area, and volume through real-life scenarios. Additionally, each MCQ is designed to enhance analytical skills. This helps students understand the logic behind every solution and apply concepts effectively in exams.

Why These MCQs Help Students

The case study MCQs improve problem-solving skills and conceptual clarity. Furthermore, they are ideal for revision and self-study. As a result, learners gain confidence and perform well in assessments.

Mensuration Class 8 Case Study Questions MCQ & Solutions

The school plans to upgrade the assembly area into a small auditorium for Grade 8 activities. The floor will be **rectangular** (length $28$ m, width $16$ m). At the center, there will be a **circular stage** (radius $3$ m). A **cylindrical pillar** (radius $2$ m, height $6$ m) will support the canopy. Near the entrance, a kiosk will have a **conical roof** (radius $3$ m, height $4$ m). For storage, there is a **cuboidal box** (length $5$ m, width $4$ m, height $3$ m). The principal needs the maths teacher to calculate different mensuration measures so the contractor can estimate materials and costs for flooring, painting, and installations.

1. What is the perimeter of the rectangular auditorium floor (l=28m, w=16m)?

Solution:
Perimeter of rectangle $P = 2(l + w) = 2(28 + 16) = 2 \times 44 = 88$ m.
Correct answer is option **(b)**.

2. What is the area of the circular stage (radius $r=3$m)?

Solution:
Area of circle $A = \pi r^{2} = \pi \times 3^{2} = 9\pi$ sq m.
Correct answer is option **(b)**.

3. What is the volume of the cylindrical pillar (radius $r=2$m, height $h=6$m)?

Solution:
Volume of cylinder $V = \pi r^{2}h = \pi \times 2^{2} \times 6 = \pi \times 4 \times 6 = 24\pi$ cubic m.
Correct answer is option **(c)**.

4. What is the lateral surface area of the conical roof (radius $r=3$m, height $h=4$m)?

Solution:
First, find the slant height $l$: $l=\sqrt{r^{2}+h^{2}}=\sqrt{3^{2}+4^{2}}=\sqrt{9+16}=\sqrt{25}=5$ m.
Lateral surface area of cone $LSA = \pi r l = \pi \times 3 \times 5 = 15\pi$ sq m.
Correct answer is option **(c)**.

5. What is the total surface area (TSA) of the cuboidal storage box (l=5m, w=4m, h=3m)?

Solution:
TSA of cuboid $TSA = 2(lw + wh + lh)$
$TSA = 2((5 \times 4) + (4 \times 3) + (5 \times 3))$
$TSA = 2(20 + 12 + 15) = 2 \times 47 = 94$ sq m.
Correct answer is option **(c)**.

Your Results

Correct Answers: 0

Incorrect Answers: 0

Percentage Score: 0%

Educational Resources Footer