Answer:
678.4 cm^2
Explanation:
total surface area of prism is equal to ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.
Firstly, we calculate the perimeter of the base. This is equal to 10 + 14 + 10 + 14, or 48.
Secondly, we must calculate the height of the prism, which is shown as 8.3.
Lastly, we must calculate the area of the base, which is 10 * 14, or 140.
We can now substitute these values into the formula, ph + 2B to find the total surface area of the prism:
ph + 2B,
(48)(8.3) + 2(140),
398.4 + 280,
678.4
This means that the total surface area of this prism is 678.4 cm^2