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If a cuboid has dimensions of 2 cm, 3 cm, and 4 cm, what is its total surface ar

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Question: If a cuboid has dimensions of 2 cm, 3 cm, and 4 cm, what is its total surface area?

Options:

  1. 24 cm²
  2. 28 cm²
  3. 20 cm²
  4. 18 cm²

Correct Answer: 24 cm²

Solution:

The surface area of a cuboid is calculated as 2(lw + lh + wh). Here, 2(2*3 + 2*4 + 3*4) = 24 cm².

If a cuboid has dimensions of 2 cm, 3 cm, and 4 cm, what is its total surface ar

Practice Questions

Q1
If a cuboid has dimensions of 2 cm, 3 cm, and 4 cm, what is its total surface area?
  1. 24 cm²
  2. 28 cm²
  3. 20 cm²
  4. 18 cm²

Questions & Step-by-Step Solutions

If a cuboid has dimensions of 2 cm, 3 cm, and 4 cm, what is its total surface area?
  • Step 1: Identify the dimensions of the cuboid. The dimensions are length (l) = 2 cm, width (w) = 3 cm, and height (h) = 4 cm.
  • Step 2: Use the formula for the surface area of a cuboid, which is Surface Area = 2(lw + lh + wh).
  • Step 3: Calculate lw (length times width). This is 2 cm * 3 cm = 6 cm².
  • Step 4: Calculate lh (length times height). This is 2 cm * 4 cm = 8 cm².
  • Step 5: Calculate wh (width times height). This is 3 cm * 4 cm = 12 cm².
  • Step 6: Add the results from Steps 3, 4, and 5 together: 6 cm² + 8 cm² + 12 cm² = 26 cm².
  • Step 7: Multiply the sum from Step 6 by 2 to find the total surface area: 2 * 26 cm² = 52 cm².
  • Surface Area of a Cuboid – The total surface area of a cuboid is calculated using the formula 2(lw + lh + wh), where l, w, and h are the length, width, and height of the cuboid.
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