A roll of wrapping paper measures 25 in. x 405 in. The boxes being wrapped are 16 in. x 14 in. x 6 in. How many complete boxes can be wrapped with one roll of wrapping paper?
Apologies for the mistake. Let's calculate the correct answer:
First, we need to determine how much wrapping paper is needed to wrap one box. The surface area of a box is equal to the sum of the areas of all its sides. Therefore, the surface area of one box is:
2 * (length × width) + 2 * (length × height) + 2 * (width × height)
= 2 * (16 × 14) + 2 * (16 × 6) + 2 * (14 × 6)
= 2 * 224 + 2 * 96 + 2 * 84
= 448 + 192 + 168
= 808 square inches.
Now, we can find the number of complete boxes that can be wrapped with one roll of wrapping paper by dividing the total area of the roll of wrapping paper by the area of one box:
10,125 square inches ÷ 808 square inches per box = 12.53.
Since we cannot wrap a fraction of a box, we can wrap only 12 complete boxes with one roll of wrapping paper. Answer: \boxed{12}.
To find the total surface area of a cube, we need to calculate the combined areas of all six sides of the cube.
Since all sides of a cube are equal, we can find the area of one side and then multiply it by 6.
The area of one side of the cube is equal to the length of the side squared, so for a cube with 8-inch sides, the area of one side is 8 inches × 8 inches = 64 square inches.
To find the total surface area, we multiply the area of one side by 6:
64 square inches × 6 = 384 square inches.
Therefore, the total surface area of a cube with 8-inch sides is 384 square inches.
Correct
Next question: what is the total surface area of a cube that has 8-inch sides?
Correct
Next Question: Use the formula for the surface area of a right rectangular prism to find the surface area of a shape with the following measurements: Length = 4.5, Width =3.5 cm, and height = 2.5?
The formula for the surface area of a right rectangular prism is:
Surface Area = 2(lw + lh + wh)
Using the given measurements:
Length = 4.5 cm
Width = 3.5 cm
Height = 2.5 cm
We can substitute these values into the formula and calculate the surface area:
Surface Area = 2(4.5 × 3.5 + 4.5 × 2.5 + 3.5 × 2.5)
= 2(15.75 + 11.25 + 8.75)
= 2(35.75)
= 71.5 cm^2
Therefore, the surface area of the right rectangular prism with a length of 4.5 cm, width of 3.5 cm, and height of 2.5 cm is 71.5 cm^2.
Thats wrong bot.
The area of the roll of wrapping paper is 25 in. x 405 in. = <<25*405=10125>>10,125 square inches.
The area of one box is 16 in. x 14 in. x 6 in. = <<16*14*6=1344>>1,344 square inches.
The number of complete boxes that can be wrapped with one roll of wrapping paper is 10,125 square inches / 1,344 square inches per box = <<10125/1344=7.53>>7.53 boxes.
Since you cannot wrap a fraction of a box, you can wrap only 7 complete boxes with one roll of wrapping paper. Answer: \boxed{7}.