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Solids — Flashcards

ICSE · Class 9 · Mathematics

28 flashcards for Solids (ICSE Class 9 Mathematics) to test yourself on key terms and facts. Sample: "Solve: Find the volume of a cuboid"

42 questions28 flashcards14 formulas & key relations5 concepts

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A comparison illustrating the concept of 1-D (perimeter), 2-D (area), and 3-D (solid/volume) figures with simple geometric shapes.
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One of 14 illustrations for Solids in Super Tutor — alongside flashcards, concept maps and practice questions.

28 Flashcards·
Volume of cuboidTotal surface area of cuboidLateral surface area of cuboidDiagonal of cuboidFormula application: cuboid volumeVolume of cubeTotal surface area of cubeDiagonal of cube
Card 1Volume of cuboid

Solve: Find the volume of a cuboid with length 12 cm, breadth 5 cm, and height 4 cm.

Answer

Step 1: Use the formula Volume = l × b × h. Step 2: Substitute the values: 12 × 5 × 4. Step 3: Multiply: 12 × 5 = 60, and 60 × 4 = 240. Answer: 240 cm³.

Card 2Total surface area of cuboid

Solve: Find the total surface area of a cuboid with length 10 cm, breadth 6 cm, and height 4 cm.

Answer

Step 1: Use Total surface area = 2(l×b + b×h + h×l). Step 2: Substitute: 2(10×6 + 6×4 + 4×10). Step 3: Calculate each part: 10×6 = 60, 6×4 = 24, 4×10 = 40. Step 4: Add: 60 + 24 + 40 = 124. Step 5: Mul…

Card 3Lateral surface area of cuboid

Solve: Find the lateral surface area of a cuboid with length 8 cm, breadth 7 cm, and height 3 cm.

Answer

Step 1: Use Lateral surface area = 2(l+b) × h. Step 2: Substitute: 2(8+7) × 3. Step 3: Add inside the bracket: 8 + 7 = 15. Step 4: Multiply: 2 × 15 × 3 = 90. Answer: 90 cm².

Card 4Diagonal of cuboid

Solve: Find the diagonal of a cuboid with length 3 cm, breadth 4 cm, and height 12 cm.

Answer

Step 1: Use Length of diagonal = √(l² + b² + h²). Step 2: Substitute: √(3² + 4² + 12²). Step 3: Square the numbers: 9 + 16 + 144. Step 4: Add: 169. Step 5: Take square root: √169 = 13. Answer: 13 cm.

Card 5Formula application: cuboid volume

When do you use the formula Volume = length × breadth × height?

Answer

Use it for a cuboid or a rectangular box. Example: A box has l = 2 cm, b = 3 cm, h = 5 cm. Step 1: Volume = l × b × h. Step 2: Volume = 2 × 3 × 5. Step 3: Volume = 30 cm³. Answer: This formula is used…

Card 6Volume of cube

Solve: A cube has edge 6 cm. Find its volume.

Answer

Step 1: Use Volume = a³. Step 2: Substitute a = 6 cm. Step 3: Volume = 6 × 6 × 6. Step 4: Volume = 216. Answer: 216 cm³.

Card 7Total surface area of cube

Solve: A cube has edge 4 cm. Find its total surface area.

Answer

Step 1: Use Total surface area = 6a². Step 2: Substitute a = 4 cm. Step 3: a² = 4² = 16. Step 4: 6 × 16 = 96. Answer: 96 cm².

Card 8Diagonal of cube

Solve: A cube has edge 5 cm. Find its diagonal.

Answer

Step 1: Use Length of diagonal = a√3. Step 2: Substitute a = 5 cm. Step 3: Diagonal = 5√3 cm. Answer: 5√3 cm.

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Frequently Asked Questions

What are the important topics in Solids for ICSE Class 9 Mathematics?
Key topics in Solids include Core Ideas and Definitions, Cuboid, Cube, Cost of an Article and Related Applications. Study these first, then practise questions on each for Class 9 exams.
How many flashcards are available for Solids?
There are 28 flashcards for Solids covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Solids for Class 9 exams?
Learn the core ideas first, then work through the 42 practice questions on Solids. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All ICSE Class 9 Mathematics Flashcards

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