A rectangular-shaped box has the following dimensions: 12 yards, 8 yards, and 18 yards. What is the surface area of the box? Surface Area \( = \)

To find the surface area of the rectangular-shaped box, you can use the formula: Surface Area \( = 2(lb + lh + bh) \) where \( l \) is length, \( b \) is breadth, and \( h \) is height. Plugging in the dimensions \( l = 12 \) yards, \( b = 8 \) yards, and \( h = 18 \) yards, we calculate: Surface Area \( = 2(12 \cdot 8 + 12 \cdot 18 + 8 \cdot 18) \) This simplifies to: Surface Area \( = 2(96 + 216 + 144) = 2(456) = 912 \) square yards. So, the surface area of the box is \( 912 \) square yards! In the world of packaging, knowing the surface area of a box can help businesses determine how much material they need to make the box or how much paint they’ll use for branding. It’s a real-life application of geometry that every product designer loves to keep in mind! When calculating surface areas, a common mistake people make is mixing up dimensions. Ensure that you consistently label your length, width, and height; otherwise, you might end up with incorrect calculations!