Answer:
<u>678.4 cm^2</u>
Step-by-step explanation:
total surface area of prism is equal to ph+2B where <em>p</em> represents the perimeter of the base, <em>h</em> the height of the prism and <em>B</em> the area of the base.
Firstly, we calculate the <u>perimeter of the base. </u><u>This is equal to 10 + 14 + 10 + 14, or 48.</u>
Secondly, we must calculate the <u>height of the prism, </u><u>which is shown as 8.3.</u>
Lastly, we must calculate the <u>area of the base, </u><u>which is 10 * 14, or 140.</u>
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
<em><u>This means that the total surface area of this prism is 678.4 cm^2</u></em>
