Question

She multiplies 7 inches by 10 inches to get the area of one side, 70 in.2, then multiplies by the

number of sides, 8, to get 560 in.².
Is Raelynn's solution correct? Why or why not?
Select the option that correctly answers both questions.
O Yes, she correctly found the area of one face and multiplied by the number of sides.
O No, not all of the sides have the same area, so multiplying 70 by 8 is incorrect.
No, the figure only has 6 sides, so she should have multiplied 70 by 6.
Yes, she correctly found the sum of the area of all sides of the figure.

Answer 1

Raelynn's solution is incorrect because b. No, not all of the sides have the same area, so multiplying 70 by 8 is incorrect.

How to find the solution?

The figure she is describing is likely a rectangular prism, such as a box. A rectangular prism has six sides, and while the length and width sides may have the same area 7 inches by 10 inches, which is 70 square inches each, the top and bottom, as well as the front and back sides, will likely have different dimensions and, therefore, different areas.

To find the total surface area of a rectangular prism, you need to calculate the area of each of the six sides separately and then sum them up.

Raelynn's approach of multiplying one side's area by the number of sides (8) is incorrect because it assumes that all sides have the same area, which is not the case for a rectangular prism.

The correct method is to find the area of each side and add them together.