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Calculate the surface area and volume of a trapezoidal prism with given dimensions.

Mathematics

ScanSolve AI Answer

Here are the calculations for the surface area and volume of the given shapes.

Shape 1: Trapezoidal Prism
The first shape is a prism with a trapezoidal base.
The dimensions of the trapezoidal base are:

  • Height (hth_t) = 5 cm5 \text{ cm}
  • Bottom base (b1b_1) = 6 cm6 \text{ cm}
  • Top base (b2b_2) = 8 cm8 \text{ cm} The length of the prism (LL) = 12 cm12 \text{ cm}.

Step 1: Calculate the area of the trapezoidal base.
The formula for the area of a trapezoid is $A = \frac{1}{

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