Answer:
you will need approximately 114 square feet of wood for the outer surface of the box.
Step-by-step explanation:
To calculate the amount of wood needed for the outer surface of the box, we need to find the surface area of each side and then add them up.
The box has six sides: a top, a bottom, a front, a back, and two sides.
1. Top and bottom:
The top and bottom sides are rectangles with dimensions 8 ft by 3 ft. To find the surface area of each, we multiply the length by the width:
Top and bottom surface area = 2 * (8 ft * 3 ft)
2. Front and back:
The front and back sides are rectangles with dimensions 8 ft by 3 ft. To find the surface area of each, we multiply the length by the height:
Front and back surface area = 2 * (8 ft * 3 ft)
3. Sides:
The two side surfaces are rectangles with dimensions 3 ft by 3 ft. To find the surface area of each, we multiply the width by the height:
Side surface area = 2 * (3 ft * 3 ft)
Now, we can add up the surface areas of all six sides to find the total surface area of the box:
Total surface area = Top and bottom surface area + Front and back surface area + Side surface area
Simplifying the equation, we have:
Total surface area = 2 * (8 ft * 3 ft) + 2 * (8 ft * 3 ft) + 2 * (3 ft * 3 ft)
Calculating the values, we get:
Total surface area = 2 * (24 ft^2) + 2 * (24 ft^2) + 2 * (9 ft^2)
Total surface area = 48 ft^2 + 48 ft^2 + 18 ft^2
Total surface area = 114 ft^2
Therefore, you will need approximately 114 square feet of wood for the outer surface of the box.
