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Important Questions

Surface Area, Volume and Capacity

ICSE · Class 8 · Mathematics

Most important questions from Surface Area, Volume and Capacity for ICSE Class 8 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

66 questions28 flashcards5 concepts

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66 Questions·
multiple choicemultiple correct

Sample Questions

1multiple correct
3 marks

Three cubes of edge 8 cm are joined in a row to form a cuboid. Find the total surface area and the volume of the cuboid, and identify the correct pair.

Show answer

Total surface area = 896 cm², Volume = 1536 cm³

Step 1: The cuboid formed has length 3 × 8 = 24 cm, breadth 8 cm, and height 8 cm. Step 2: Total surface area = 2(lb + bh + hl) = 2(24 × 8 + 8 × 8 + 8 × 24) = 2(192 + 64 + 192) = 2 × 448 = 896 cm². Step 3: Volume = l × b × h = 24 × 8 × 8 = 1536 cm³. Both statements are correct.

2multiple correct
3 marks

A cube has edge 12 cm. Find its total surface area, volume and diagonal, and choose the correct pair of surface area and diagonal.

Show answer

Total surface area = 864 cm², Diagonal = 20.784 cm

Step 1: Total surface area of a cube = 6a² = 6 × 12² = 6 × 144 = 864 cm². Step 2: Diagonal of a cube = edge × √3 = 12 × 1.732 = 20.784 cm. These two statements are correct.

3multiple choice
3 marks

A cube has total surface area 294 cm². Find its volume.

Show answer

343 cm³

Step 1: Total surface area of a cube = 6a². So, 6a² = 294. Step 2: a² = 294 ÷ 6 = 49. Step 3: a = 7 cm. Step 4: Volume = a³ = 7³ = 343 cm³. So the correct answer is 343 cm³.

4multiple choice
3 marks

A cylinder has radius 7 cm and height 10 cm. Take π = 22/7. Find its volume.

Show answer

1540 cm³

Step 1: Volume of a cylinder = πr²h. Step 2: Substitute the values. Volume = 22/7 × 7² × 10 = 22/7 × 49 × 10 = 22 × 7 × 10 = 1540 cm³. So the correct answer is 1540 cm³.

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Frequently Asked Questions

What are the important topics in Surface Area, Volume and Capacity for ICSE Class 8 Mathematics?
Surface Area, Volume and Capacity covers several key topics that are frequently asked in ICSE Class 8 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Surface Area, Volume and Capacity — ICSE Class 8 Mathematics?
Understand the core concepts first, then work through the 66 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Surface Area, Volume and Capacity?
There are 66 practice questions available for Surface Area, Volume and Capacity. These cover multiple question types including MCQs, short answer, and long answer questions.

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