Question
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Latanga is decorating the outside of a box in the shape of a right rectangular prism. The figure below shows a net for the b What is the serface area of the box, in square inches that Latanya decorates?

Ask by Savage Turnbull. in the United States
Mar 14,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

To find the surface area of the box, we need the length, width, and height. Use the formula \( SA = 2(lw + lh + wh) \) once you have these measurements.

Solution

To find the surface area of a right rectangular prism (box), we need to know the dimensions of the box: the length \( l \), width \( w \), and height \( h \). The formula for the surface area \( SA \) of a rectangular prism is given by: \[ SA = 2(lw + lh + wh) \] Please provide the dimensions of the box (length, width, and height) so that I can calculate the surface area for you.

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Bonus Knowledge

To find the surface area of a right rectangular prism, you can use the formula: Surface Area = 2(length × width + length × height + width × height). If Latanga's box has dimensions of length = 10 inches, width = 4 inches, and height = 5 inches, you would calculate it as follows: Surface Area = 2(10 × 4 + 10 × 5 + 4 × 5) = 2(40 + 50 + 20) = 2(110) = 220 square inches. So, Latanga will decorate 220 square inches of the box! Now imagine Latanga’s box is part of a gift for a friend’s birthday! Not only does she need to figure out the surface area for decoration, but she can also think about how to wrap it beautifully. Whether it's using wrapping paper or painting directly on it, understanding the dimensions helps her choose the right amount of materials!

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