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Find the surface area of the solid below.

99. Find the surface area of the solid below.

Full solution

Q. 99. Find the surface area of the solid below.
  1. Identify solid type: Identify the type of solid and the formula needed to calculate its surface area.
  2. Assume rectangular prism: Assume the solid is a rectangular prism with length ll, width ww, and height hh.
  3. Use surface area formula: Use the surface area formula for a rectangular prism: SA=2lw+2lh+2whSA = 2lw + 2lh + 2wh.
  4. Plug in dimensions: Plug in the given dimensions for ll, ww, and hh. Let's say l=10l=10, w=5w=5, and h=3h=3.
  5. Calculate surface area: Calculate the surface area: SA=2(10)(5)+2(10)(3)+2(5)(3)SA = 2(10)(5) + 2(10)(3) + 2(5)(3).
  6. Perform calculations: Perform the calculations: SA=100+60+30SA = 100 + 60 + 30.

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