Calculate the surface area of a right rectangular prism with dimensions w=12 in. , l=18 in. , and h=8 in. . How many square inches is the surface area?(1 point)
The surface area of a right rectangular prism is calculated by finding the sum of the areas of all six faces.
The formula to find the surface area of a rectangular prism is:
Surface Area = (2 * length * width) + (2 * width * height) + (2 * length * height)
Plugging in the given dimensions:
Surface Area = (2 * 18 * 12) + (2 * 12 * 8) + (2 * 18 * 8)
Surface Area = 432 + 192 + 288
Surface Area = 912
Therefore, the surface area of the right rectangular prism is 912 square inches.
Calculate the surface area of a right rectangular prism. Each edge length is 15 ft.(1 point)
The surface area of a right rectangular prism is calculated by finding the sum of the areas of all six faces.
Since each edge length is 15 ft, we can assume that the prism is a cube.
The formula to find the surface area of a cube is:
Surface Area = 6 * (length)^2
Plugging in the given edge length of 15 ft:
Surface Area = 6 * (15 ft)^2
Surface Area = 6 * 225 ft^2
Surface Area = 1350 ft^2
Therefore, the surface area of the right rectangular prism is 1350 square feet.
Caroline needs to find the surface area of a cereal box for an art project. The box is a rectangular prism with a length of 8 inches, a height of 12 inches, and a width of 2 inches. What is its surface area?(1 point)
The surface area of a right rectangular prism is calculated by finding the sum of the areas of all six faces.
The formula to find the surface area of a rectangular prism is:
Surface Area = (2 * length * width) + (2 * width * height) + (2 * length * height)
Plugging in the given dimensions:
Surface Area = (2 * 8 * 2) + (2 * 2 * 12) + (2 * 8 * 12)
Surface Area = 32 + 48 + 192
Surface Area = 272
Therefore, the surface area of the cereal box is 272 square inches.
A roll of wrapping paper measures 25 in. × 405 in. The boxes being wrapped are 16 in. × 14 in. × 6 in. How many complete boxes can be wrapped with one roll of wrapping paper?(1 point)
To determine how many complete boxes can be wrapped with one roll of wrapping paper, we need to calculate the amount of paper required to cover each box and then divide the total length of the wrapping paper by the amount needed for each box.
First, calculate the surface area of the box:
Surface Area = 2 * (length * width + width * height + height * length)
Surface Area = 2 * (16 in. * 14 in. + 14 in. * 6 in. + 6 in. * 16 in.)
Surface Area = 2 * (224 in² + 84 in² + 96 in²)
Surface Area = 2 * 404 in²
Surface Area = 808 in²
Next, divide the total length of the wrapping paper by the area needed for each box:
Number of Boxes = Total Length of Wrapping Paper / Surface Area of Box
Number of Boxes = 405 in. / 808 in²
Number of Boxes ≈ 0.501
Since we cannot have a fraction of a box, we must round down to the nearest whole number. Therefore, you can wrap 0 complete boxes with one roll of wrapping paper.