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jeka57 [31]
3 years ago
6

Please answer this correctly

Mathematics
1 answer:
Lapatulllka [165]3 years ago
8 0

Answer:

<em>342 square meters</em>

Step-by-step explanation:

Consider the length of j;

j * 9 * 9 = 405,\\j = 405 / 81,\\j = 5 meters

Applying the volume of a rectangular prism formula length * width * height = volume, we noted that 9, 9, and j corresponded to the length, width, and height of the rectangular prism and made it equivalent to the volume. Doing so, we solved for j. Now let us solve for the surface area;

Area of 1st Face = 5 * 9 = 45,\\Area of 2nd Face = 9 * 9 = 81,\\Area of 3rd Face = 5 * 9 = 45,\\\\Surface Area = 2 * ( 45 ) + 2 * ( 81 ) + 2 * ( 45 ) = 342 square meters

Opposite faces are equal in terms of their area, so by finding the area of 3 faces, we multiply their area each by 2 to result in the total surface area!

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