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The length, breadth, and height of a cuboid are 15 cm, 10 cm, and 8 cm respectively. Find the total surface area of the cuboid.
- a)860 cm2
- b)850 cm2
- c)700 cm2
- d)830 cm2
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The length, breadth, and height of a cuboid are 15 cm, 10 cm, and 8 cm...
Total surface area of a cuboid = 2(lb + bh + hl)
= 2(15 × 10 + 10 × 8 + 8 × 15)
= 2(150 + 80+ 120) = 2 × 350 = 700cm2
= 2(15 × 10 + 10 × 8 + 8 × 15)
= 2(150 + 80+ 120) = 2 × 350 = 700cm2
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Community Answer
The length, breadth, and height of a cuboid are 15 cm, 10 cm, and 8 cm...
Understanding a Cuboid
A cuboid is a three-dimensional shape with six rectangular faces. To find the total surface area, we use the formula:
Total Surface Area (TSA) = 2(lw + lh + wh)
Where:
- l = length
- w = breadth
- h = height
Given Dimensions
- Length (l) = 15 cm
- Breadth (w) = 10 cm
- Height (h) = 8 cm
Calculating Each Component
1. Calculate lw (length × breadth):
- lw = 15 cm × 10 cm = 150 cm²
2. Calculate lh (length × height):
- lh = 15 cm × 8 cm = 120 cm²
3. Calculate wh (breadth × height):
- wh = 10 cm × 8 cm = 80 cm²
Combining the Components
Now, substitute these values back into the TSA formula:
- TSA = 2(lw + lh + wh)
- TSA = 2(150 cm² + 120 cm² + 80 cm²)
Summing It Up
- TSA = 2(150 + 120 + 80)
- TSA = 2(350 cm²)
- TSA = 700 cm²
Conclusion
Thus, the total surface area of the cuboid is 700 cm². Therefore, the correct answer is option C.
A cuboid is a three-dimensional shape with six rectangular faces. To find the total surface area, we use the formula:
Total Surface Area (TSA) = 2(lw + lh + wh)
Where:
- l = length
- w = breadth
- h = height
Given Dimensions
- Length (l) = 15 cm
- Breadth (w) = 10 cm
- Height (h) = 8 cm
Calculating Each Component
1. Calculate lw (length × breadth):
- lw = 15 cm × 10 cm = 150 cm²
2. Calculate lh (length × height):
- lh = 15 cm × 8 cm = 120 cm²
3. Calculate wh (breadth × height):
- wh = 10 cm × 8 cm = 80 cm²
Combining the Components
Now, substitute these values back into the TSA formula:
- TSA = 2(lw + lh + wh)
- TSA = 2(150 cm² + 120 cm² + 80 cm²)
Summing It Up
- TSA = 2(150 + 120 + 80)
- TSA = 2(350 cm²)
- TSA = 700 cm²
Conclusion
Thus, the total surface area of the cuboid is 700 cm². Therefore, the correct answer is option C.
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The length, breadth, and height of a cuboid are 15 cm, 10 cm, and 8 cm respectively. Find the total surface area of the cuboid.a)860 cm2b)850cm2c)700cm2d)830 cm2Correct answer is option 'C'. Can you explain this answer?
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