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How can you find the surface area of a rectangular prism with dimensions 5 yards by 5 yards by 3 yards?

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Final answer:

The surface area of a rectangular prism with dimensions of 5 yards by 5 yards by 3 yards can be calculated as 110 square yards by using the formula for surface area: 2lw + 2lh + 2wh.

Step-by-step explanation:

To calculate the surface area of a rectangular prism with dimensions of 5 yards by 5 yards by 3 yards, you can use the following formula:

Surface Area = 2lw + 2lh + 2wh,


where l is the length, w is the width, and h is the height of the prism.

In this case, the prism has a length (l) of 5 yards, a width (w) also of 5 yards, and a height (h) of 3 yards. Plugging these values into the formula, we get:

Surface Area = 2(5 yd)(5 yd) + 2(5 yd)(3 yd) + 2(5 yd)(3 yd) = 2(25 yd²) + 2(15 yd²) + 2(15 yd²) = 50 yd² + 30 yd² + 30 yd² = 110 yd².

Therefore, the total surface area of the rectangular prism is 110 square yards.

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