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Surface Area, Volume and Capacity — Flashcards

ICSE · Class 8 · Mathematics

28 flashcards for Surface Area, Volume and Capacity (ICSE Class 8 Mathematics) to test yourself on key terms and facts.

66 questions28 flashcards15 formulas & key relations5 concepts

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28 Flashcards·
Volume of a cuboidFinding one dimension of a cuboidRatio in cuboid dimensionsTotal surface area of a cuboidConcept of volumeEdge of a cube from surface areaVolume of a cubeCube surface area to volume
Card 1Volume of a cuboid

Find the volume of a cuboid with length 30 cm, breadth 25 cm, and height 20 cm.

Answer

Use volume of a cuboid = l × b × h. Step 1: Substitute the values. 30 × 25 × 20 Step 2: Multiply. 30 × 25 = 750 750 × 20 = 15000 Answer: 15000 cm³…

Card 2Finding one dimension of a cuboid

A cuboid has volume 4800 cm³, length 24 cm, and breadth 20 cm. Find its height.

Answer

Use volume of a cuboid = l × b × h. Step 1: Write the formula. 4800 = 24 × 20 × h Step 2: Multiply known sides. 24 × 20 = 480 Step 3: Divide volume by 480. h = 4800 ÷ 480 = 10 Answer: 10 cm…

Card 3Ratio in cuboid dimensions

The length, breadth, and height of a cuboid are in the ratio 6:5:4. Its volume is 15000 cm³. Find the dimensions.

Answer

Let length = 6x cm, breadth = 5x cm, height = 4x cm. Step 1: Use volume formula. 6x × 5x × 4x = 15000 Step 2: Simplify. 120x³ = 15000 Step 3: Divide. x³ = 125 Step 4: Find x. x = 5 Step 5: Find each d…

Card 4Total surface area of a cuboid

Find the total surface area of a cuboid with length 30 cm, breadth 25 cm, and height 20 cm.

Answer

Use total surface area of a cuboid = 2(l × b + b × h + h × l). Step 1: Substitute values. 2(30 × 25 + 25 × 20 + 20 × 30) Step 2: Multiply inside brackets. 30 × 25 = 750 25 × 20 = 500 20 × 30 = 600 Ste…

Card 5Concept of volume

Why is the volume of a cuboid equal to area of the base × height?

Answer

A cuboid can be seen as a stack of equal rectangular layers. Step 1: The base has area l × b. Step 2: Each layer has the same base area. Step 3: Stacking these layers up to height h gives l × b × h. S…

Card 6Edge of a cube from surface area

Find the edge of a cube whose total surface area is 294 cm².

Answer

Use total surface area of a cube = 6a². Step 1: Write the equation. 6a² = 294 Step 2: Divide by 6. a² = 49 Step 3: Find square root. a = 7 Answer: 7 cm…

Card 7Volume of a cube

Find the volume of a cube whose edge is 7 cm.

Answer

Use volume of a cube = a³. Step 1: Substitute a = 7 cm. V = 7³ Step 2: Multiply. 7 × 7 × 7 = 343 Answer: 343 cm³…

Card 8Cube surface area to volume

The total surface area of a cube is 216 cm². Find its volume.

Answer

Step 1: Use total surface area of a cube = 6a². 6a² = 216 Step 2: Divide by 6. a² = 36 Step 3: Find edge. a = 6 cm Step 4: Find volume using a³. V = 6³ = 216 cm³ Answer: 216 cm³…

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Frequently Asked Questions

What are the important topics in Surface Area, Volume and Capacity for ICSE Class 8 Mathematics?
Key topics in Surface Area, Volume and Capacity include Core Ideas and Units, Cuboid, Cube, Worked Problem Patterns from Cuboid and Cube. Study these first, then practise questions on each for Class 8 exams.
How many flashcards are available for Surface Area, Volume and Capacity?
There are 28 flashcards for Surface Area, Volume and Capacity covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Surface Area, Volume and Capacity for Class 8 exams?
Learn the core ideas first, then work through the 66 practice questions on Surface Area, Volume and Capacity. Revise definitions regularly and use flashcards for quick recall before the exam.

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