1. A hito has a chop box in the form of a cuboid whose top is open. The bare of the chop box is 4.2 m byy 1.7 m and the height is 1.4 m . Find the total surfare area of the box withat the top.

To find the total surface area of a chop box (cuboid) without the top, we can use the formula for the surface area of a cuboid, which is: \[ \text{Surface Area} = 2(lw + lh + wh) - \text{Area of the top} \] Given: - Length (l) = 4.2 m - Width (w) = 1.7 m - Height (h) = 1.4 m Calculating each component: 1. Area of the base (bottom) = \( l \times w = 4.2 \times 1.7 = 7.14 \, \text{m}^2 \) 2. Area of the four sides: - Two sides of height \( h \) and length \( l \): \( 2(lh) = 2(4.2 \times 1.4) = 11.76 \, \text{m}^2 \) - Two sides of height \( h \) and width \( w \): \( 2(wh) = 2(1.7 \times 1.4) = 4.76 \, \text{m}^2 \) Now, putting it all together: - Total Surface Area without the top = Base + Sides - Total Surface Area = \( 7.14 + 11.76 + 4.76 = 23.66 \, \text{m}^2 \) So, the total surface area of the chop box without the top is **23.66 m²**. Now, let's look into some fun facts and relatable applications! Did you know that cuboid shapes are used in everyday life, like storage boxes or even in architecture? Understanding volume and surface area for building materials can help in designing efficient spaces, whether it's a kitchen or a garden shed! When tackling surface area problems, don’t forget to visualize the shape! Sketching it out can help you keep track of which sides to include or exclude, especially if the shape has openings like this chop box. Avoid missing out on a side like the top or the bottom!