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A cuboid has a length of 5 cm, a width of 3 cm, and a height of 2 cm. What is it

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Question: A cuboid has a length of 5 cm, a width of 3 cm, and a height of 2 cm. What is its surface area?

Options:

  1. 30 cm²
  2. 62 cm²
  3. 38 cm²
  4. 40 cm²

Correct Answer: 38 cm²

Solution:

The surface area of a cuboid is calculated as 2(lw + lh + wh). Here, 2(5*3 + 5*2 + 3*2) = 2(15 + 10 + 6) = 62 cm².

A cuboid has a length of 5 cm, a width of 3 cm, and a height of 2 cm. What is it

Practice Questions

Q1
A cuboid has a length of 5 cm, a width of 3 cm, and a height of 2 cm. What is its surface area?
  1. 30 cm²
  2. 62 cm²
  3. 38 cm²
  4. 40 cm²

Questions & Step-by-Step Solutions

A cuboid has a length of 5 cm, a width of 3 cm, and a height of 2 cm. What is its surface area?
  • Step 1: Identify the dimensions of the cuboid. The length (l) is 5 cm, the width (w) is 3 cm, and the height (h) is 2 cm.
  • Step 2: Use the formula for the surface area of a cuboid, which is 2(lw + lh + wh).
  • Step 3: Calculate lw (length times width): 5 cm * 3 cm = 15 cm².
  • Step 4: Calculate lh (length times height): 5 cm * 2 cm = 10 cm².
  • Step 5: Calculate wh (width times height): 3 cm * 2 cm = 6 cm².
  • Step 6: Add the results from Steps 3, 4, and 5: 15 cm² + 10 cm² + 6 cm² = 31 cm².
  • Step 7: Multiply the sum from Step 6 by 2: 2 * 31 cm² = 62 cm².
  • Step 8: The surface area of the cuboid is 62 cm².
  • Surface Area of a Cuboid – The surface area of a cuboid is calculated using the formula 2(lw + lh + wh), where l is length, w is width, and h is height.
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