Find the total surface area of a trapezoidal prisms

Answer 1

To find the total surface area of a trapezoidal prism, add the areas of all the surfaces.

Total Surface Area = 2(1/2(Base1 + Base2) * height) + (Base1 + Base2) * side

Where:
- Base1 and Base2 are the lengths of the two parallel bases of the trapezoid.
- Height is the height of the trapezoid.
- Side is the length of the lateral edge connecting the two bases.

For example, if the Base1 is 5 cm, Base2 is 8 cm, height is 6 cm, and side is 10 cm, then:

Total Surface Area = 2(1/2(5 + 8) * 6) + (5 + 8) * 10
Total Surface Area = 2(1/2(13) * 6) + (13) * 10
Total Surface Area = 2(6.5 * 6) + 13 * 10
Total Surface Area = 2(39) + 130
Total Surface Area = 78 + 130
Total Surface Area = 208 square cm

Therefore, the total surface area of the trapezoidal prism is 208 square cm.