Surface Area, Volume and Capacity
ICSE · Class 8 · Mathematics
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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…
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…
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…
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…
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…
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…
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…
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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