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If a cuboidal box has height, length and width as 20 cm, 15 cm and 10 cm respectively. Then its total surface area is:
  • a)
    1100 cm2
  • b)
    1200 cm2
  • c)
    1300 cm2
  • d)
    1400 cm2
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
If a cuboidal box has height, length and width as 20 cm, 15 cm and 10 ...
Total surface area = 2 (20 x 15 + 20 x 10 + 10 x 15)
TSA = 2(300 + 200 + 150) = 1300 cm2
Free Test
Community Answer
If a cuboidal box has height, length and width as 20 cm, 15 cm and 10 ...
Understanding the Problem
To find the total surface area of a cuboidal box, we need to use the formula for the total surface area (TSA) of a cuboid. The dimensions of the box are given as:
- Height (h) = 20 cm
- Length (l) = 15 cm
- Width (w) = 10 cm
Formula for Total Surface Area
The formula to calculate the total surface area of a cuboid is:
TSA = 2(lw + lh + wh)
Where:
- l = length
- h = height
- w = width
Calculating Each Component
Let's break down the calculation step-by-step:
1. Calculate lw (length x width):
- lw = 15 cm * 10 cm = 150 cm²
2. Calculate lh (length x height):
- lh = 15 cm * 20 cm = 300 cm²
3. Calculate wh (width x height):
- wh = 10 cm * 20 cm = 200 cm²
Putting It All Together
Now, substitute these values into the TSA formula:
TSA = 2(lw + lh + wh)
TSA = 2(150 cm² + 300 cm² + 200 cm²)
TSA = 2(650 cm²)
TSA = 1300 cm²
Conclusion
Thus, the total surface area of the cuboidal box is 1300 cm², which corresponds to option 'C'.
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If a cuboidal box has height, length and width as 20 cm, 15 cm and 10 cm respectively. Then its total surface area is:a)1100 cm2b)1200 cm2c)1300 cm2d)1400 cm2Correct answer is option 'C'. Can you explain this answer?
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