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Surface Areas And Volumes Of Solid Figures — Flashcards

NIOS · Class 10 · Maths

30 flashcards for Surface Areas And Volumes Of Solid Figures (NIOS Class 10 Maths) to test yourself on key terms and facts.

34 questions30 flashcards16 formulas & key relations5 concepts

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An illustration showing common objects and their corresponding 3D geometric shapes (cuboid, cube, cylinder, cone, sphere, hemisphere).
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30 Flashcards·
Cuboid Surface AreaCuboid VolumeCuboid DiagonalCube Surface AreaCube Volume and DiagonalCuboid Formula ApplicationOpen Cuboid Surface Area
Card 1Cuboid Surface Area

Solve: A cuboid has length 4 cm, breadth 3 cm, and height 12 cm. Find its surface area.

Answer

Step 1: Use surface area of cuboid = 2(lb + bh + hl). Step 2: Substitute values = 2(4×3 + 3×12 + 12×4). Step 3: = 2(12 + 36 + 48) = 2×96. Answer: 192 cm².

Card 2Cuboid Volume

Solve: A cuboid has length 4 cm, breadth 3 cm, and height 12 cm. Find its volume.

Answer

Step 1: Use volume of cuboid = lbh. Step 2: Substitute values = 4×3×12. Step 3: = 144. Answer: 144 cm³.

Card 3Cuboid Diagonal

Solve: Find the diagonal of a cuboid with l = 4 cm, b = 3 cm, h = 12 cm.

Answer

Step 1: Use diagonal of cuboid = √(l² + b² + h²). Step 2: Substitute = √(4² + 3² + 12²). Step 3: = √(16 + 9 + 144) = √169. Step 4: √169 = 13. Answer: 13 cm.

Card 4Cube Surface Area

Solve: A cube has edge 13 cm. Find its surface area.

Answer

Step 1: Use surface area of cube = 6a². Step 2: Substitute a = 13 cm. Step 3: = 6×13² = 6×169. Step 4: = 1014. Answer: 1014 cm².

Card 5Cube Volume and Diagonal

Solve: A cube has volume 2197 cm³. Find its edge and diagonal.

Answer

Step 1: Use volume of cube = a³. Step 2: a³ = 2197 = 13³, so a = 13 cm. Step 3: Use diagonal of cube = a√3. Step 4: Diagonal = 13√3 cm. Answer: Edge = 13 cm, diagonal = 13√3 cm.

Card 6Cuboid Formula Application

When do you use the formula 2(lb + bh + hl)? Give a solved example.

Answer

Use it for the surface area of a cuboid. Example: l = 6 m, b = 3 m, h = 2.5 m. Step 1: 2(lb + bh + hl) Step 2: = 2(6×3 + 3×2.5 + 2.5×6) Step 3: = 2(18 + 7.5 + 15) = 2×40.5 Answer: 81 m².

Card 7Cuboid Volume

A cuboidal tank is 5 m long and 4 m wide and contains 60 m³ of water. Find its depth.

Answer

Step 1: Use volume of cuboid = lbh. Step 2: Let depth = d. Step 3: 5×4×d = 60. Step 4: 20d = 60. Step 5: d = 60/20 = 3. Answer: 3 m.

Card 8Open Cuboid Surface Area

A wooden box is 1.5 m long, 1.25 m broad, 65 cm deep, and open at the top. Find the area of wood used.

Answer

Step 1: Convert depth: 65 cm = 65/100 m = 0.65 m. Step 2: For an open-top box, area = lb + 2bh + 2hl. Step 3: = 1.5×1.25 + 2×1.25×0.65 + 2×0.65×1.5 Step 4: = 1.875 + 1.625 + 1.95 Step 5: = 5.45. Answe…

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Frequently Asked Questions

What are the important topics in Surface Areas And Volumes Of Solid Figures for NIOS Class 10 Maths?
Key topics in Surface Areas And Volumes Of Solid Figures include Core Ideas and Units, Cylinder, Cone, Sphere and Hemisphere. Study these first, then practise questions on each for the NIOS Class 10 board exam.
How many flashcards are available for Surface Areas And Volumes Of Solid Figures?
There are 30 flashcards for Surface Areas And Volumes Of Solid Figures covering key definitions, facts and ideas. A few sample cards are shown on this page.
How should I revise Surface Areas And Volumes Of Solid Figures for the NIOS Class 10 board exam?
Learn the core ideas first, then work through the 34 practice questions on Surface Areas And Volumes Of Solid Figures. Revise definitions regularly and use flashcards for quick recall before the exam.

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