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Two similar rectangular prism have corresponding sides that measure 5 feet and 6 feet.

If the surface area of a smaller prism is 525 square feet, what is the surface area of a larger prism?

For similar figures, area is proprtional to the square of corresponding length dimensions, and volume is proportional to the cube.

In this case, the areas are in a ratio os (6/5)^2 = 36/25.

So the area of the larger prism is
(36/25)*525 = 756 ft^2

To find the surface area of the larger prism, you can use the concept of ratios.

First, we need to determine the ratio of the corresponding sides. Since the corresponding sides of the two prisms are 5 feet and 6 feet, we can set up the ratio as:

5 feet / 6 feet

Since the ratio of the sides is the same for all corresponding dimensions (length, width, and height), we can use this ratio to find the ratio of the surface areas.

Now, let's calculate the ratio of the surface areas:

(surface area of larger prism) / (surface area of smaller prism)

We know that the surface area of the smaller prism is 525 square feet. Let's substitute this value into the equation:

(surface area of larger prism) / 525 = (6/5)

To solve for the surface area of the larger prism, we need to isolate it. By multiplying both sides by 525, we get:

(surface area of larger prism) = 525 * (6/5)

Multiplying 525 by (6/5) gives us:

(surface area of larger prism) = 630 square feet

Therefore, the surface area of the larger prism is 630 square feet.