How much foil is required to cover a rectangular box that is 4in. by 8in. by 5in.? use 3.14 as an aproximation for pi. where appropriate.
The foil is to cover the entire
surface area. Therefore, we need to calculate the surface area of the
box. There are six sides or 3 pairs.
1. The front and back areas are equal.
2. The right and left areas are equal.
3. The top and bottom areas are equal.
Therefore, we calculate 3 areas and
multiply each by 2 to get 6 areas.
As = 2(4 * 5) + 2(8 * 5) + 2(8 * 4)
= 40 + 80 + 64 = 184 sq. in. of
foil required.
40 = Area of front and rear.
80 = right and left.
64 = area of top and bottom
To calculate the amount of foil required to cover a rectangular box, we need to find the surface area of the box. A rectangular box has six faces: a top, a bottom, and four sides.
The surface area of the top and bottom faces can be calculated as length times width: 4in. * 8in. = 32 square inches each.
The surface area of the four sides can be calculated as length times height: 4in. * 5in. = 20 square inches each. Since there are four sides, we multiply this value by 4: 20 square inches * 4 = 80 square inches.
To find the total surface area, we add up all the individual face areas: 32 square inches (top) + 32 square inches (bottom) + 80 square inches (sides) = 144 square inches.
Therefore, you would need 144 square inches of foil to cover the rectangular box.
To calculate the amount of foil required to cover a rectangular box, you need to find the surface area of the box.
The surface area of a rectangular box is the sum of the areas of its six faces.
Let's break the box down into its individual faces:
1. The top and bottom faces are both rectangles with dimensions of 4in. by 8in. The area of each of these faces is 4in. * 8in. = 32in².
2. The front and back faces are also rectangles with dimensions of 4in. by 5in. The area of each of these faces is 4in. * 5in. = 20in².
3. The left and right faces are rectangles with dimensions of 8in. by 5in. The area of each of these faces is 8in. * 5in. = 40in².
Now, let's add up the areas of all the faces:
Top face: 32in²
Bottom face: 32in²
Front face: 20in²
Back face: 20in²
Left face: 40in²
Right face: 40in²
To get the total surface area, sum up all the individual areas:
32in² + 32in² + 20in² + 20in² + 40in² + 40in² = 184in².
So, you would need approximately 184 square inches of foil to cover a rectangular box with dimensions of 4in. by 8in. by 5in.