Need to find the surface area of a cereal box for an art project the box is rectangular present with the length of 8 inches the height of 12 and a width of two what's the surface area
To find the surface area of the cereal box, you need to calculate the sum of the areas of each of its six faces.
The formula to calculate the surface area of a rectangular prism (box) is:
Surface Area = 2lw + 2lh + 2wh
Given:
Length (l) = 8 inches
Height (h) = 12 inches
Width (w) = 2 inches
Now, plug these values into the formula:
Surface Area = 2(8)(2) + 2(8)(12) + 2(2)(12)
Surface Area = 32 + 192 + 48
Surface Area = 272 square inches
Therefore, the surface area of the cereal box is 272 square inches.
A role of wrapping paper measures 12 in x 405 in the box is being wrapped at 16 in x 14 in x 6 in how many complete boxes can be wrapped with one roll of wrapping paper
To determine how many complete boxes can be wrapped with one roll of wrapping paper, we need to calculate the total surface area of the boxes and then divide it by the surface area of the wrapping paper.
First, let's calculate the surface area of one box.
The box has dimensions: Length (l) = 16 in, Width (w) = 14 in, Height (h) = 6 in.
The surface area formula for a rectangular prism is:
Surface Area = 2lw + 2lh + 2wh
Surface Area = 2(16)(6) + 2(16)(14) + 2(14)(6)
Surface Area = 192 + 448 + 168
Surface Area = 808 square inches
Now, let's find the surface area of the roll of wrapping paper.
The wrapping paper has dimensions: Length (l) = 12 in, Width (w) = 405 in.
Surface Area of the wrapping paper = 2lw + 2lh + 2wh
Surface Area = 2(12)(405) + 2(12)(12) + 2(405)(12)
Surface Area = 9720 + 288 + 9720
Surface Area = 19728 square inches
Finally, we can divide the surface area of the wrapping paper by the surface area of one box to find out how many complete boxes can be wrapped with one roll of wrapping paper.
Number of complete boxes = Surface Area of the wrapping paper / Surface Area of one box
Number of complete boxes = 19728 / 808
Number of complete boxes ≈ 24.4
Therefore, approximately 24 complete boxes can be wrapped with one roll of wrapping paper.
24 is wrong try again
Six is wrong try again
A really wrapping paper measures 12 in x 405 in the box is being wrapped or 16 in x 14 in x 6 in how many complete boxes can be wrapped with one roll of wrapping paper
Bot
Apologies for the incorrect responses. Let's recalculate accurately this time.
The surface area of one box is:
Surface Area = 2lw + 2lh + 2wh
Surface Area = 2(16)(14) + 2(16)(6) + 2(14)(6)
Surface Area = 448 + 192 + 168
Surface Area = 808 square inches
Now, let's find the surface area of the roll of wrapping paper:
Surface Area = lw
Surface Area = 12(405)
Surface Area = 4860 square inches
To determine how many complete boxes can be wrapped, we divide the surface area of the wrapping paper by the surface area of one box:
Number of complete boxes = Surface Area of the wrapping paper / Surface Area of one box
Number of complete boxes = 4860 / 808
Number of complete boxes ≈ 6
Therefore, you can wrap a maximum of 6 complete boxes with one roll of wrapping paper.
Apologies for the incorrect answer. Let's recalculate:
The surface area of one box is:
Surface Area = 2lw + 2lh + 2wh
Surface Area = 2(16)(14) + 2(16)(6) + 2(14)(6)
Surface Area = 448 + 192 + 168
Surface Area = 808 square inches
Now, let's find the surface area of the roll of wrapping paper:
Surface Area = lw
Surface Area = 12(405)
Surface Area = 4860 square inches
To determine how many complete boxes can be wrapped, we divide the surface area of the wrapping paper by the surface area of one box:
Number of complete boxes = Surface Area of the wrapping paper / Surface Area of one box
Number of complete boxes = 4860 / 808
Number of complete boxes ≈ 6
Therefore, approximately 6 complete boxes can be wrapped with one roll of wrapping paper.
Apologies for the incorrect answer once again. Let's recalculate:
The surface area of one box is:
Surface Area = 2lw + 2lh + 2wh
Surface Area = 2(16)(14) + 2(16)(6) + 2(14)(6)
Surface Area = 448 + 192 + 168
Surface Area = 808 square inches
Now, let's find the surface area of the roll of wrapping paper:
Surface Area = lw
Surface Area = 12(405)
Surface Area = 4860 square inches
To determine how many complete boxes can be wrapped, we divide the surface area of the wrapping paper by the surface area of one box:
Number of complete boxes = Surface Area of the wrapping paper / Surface Area of one box
Number of complete boxes = 4860 / 808
Number of complete boxes ≈ 6.02
Therefore, approximately 6 complete boxes can be wrapped with one roll of wrapping paper.