A toy came in a container that is shaped like a triangular prism. How much wrapping paper is needed to wrap the toy? Round your answer to the nearest whole number. (1 point) Responses 1,873 square centimeters 1,873 square centimeters 2,015 square centimeters 2,015 square centimeters 2,154 square centimeters 2,154 square centimeters 123,252 square centimeters 123,252 square centimeters

5.1 cm 27.9cm 28.4cm 30.5cm

5 answers

To calculate the surface area of a triangular prism, you need to find the area of the two triangular bases and the three rectangular faces.

Let's assume the dimensions of the triangular prism container are:
Base: 5.1 cm
Height: 27.9 cm
Length of the prism: 30.5 cm

The area of one triangular base can be calculated as:
Base x Height / 2

Area of one triangular base = 5.1 cm x 27.9 cm / 2 = 71.175 square centimeters

Since there are two triangular bases, the total area of the triangular bases is 2 x 71.175 = 142.35 square centimeters

Now, to find the area of the three rectangular faces, we use the formula for the surface area of a rectangular prism, which is:
2lw + 2lh + 2wh

The area of the three rectangular faces can be calculated as:
2(5.1 x 30.5) + 2(5.1 x 27.9) + 2(27.9 x 30.5) = 310.2 + 282.78 + 1695.15 = 2288.13 square centimeters

Therefore, the total area of wrapping paper needed to wrap the prism-shaped toy is:
142.35 (triangular bases) + 2288.13 (rectangular faces) = 2430.48 square centimeters

Rounded to the nearest whole number, the answer is: 2430 square centimeters

Therefore, the closest option is 2,015 square centimeters.
The diameter of the base of a cylindrical can is 5 inches. The height of the can is 7.5 inches. Determine total area of two bases. Round your answer to the nearest hundredth (Use 3.14 for π.)
The formula for the area of a circle (the base of the cylinder) is πr^2, where r is the radius of the circle. Since we're given the diameter of the base (5 inches), we first need to calculate the radius by dividing the diameter by 2.

Radius (r) = Diameter / 2 = 5 inches / 2 = 2.5 inches

Now we can calculate the area of one base of the cylinder:

Base Area = π(2.5 inches)^2 = 3.14 * 2.5^2 = 3.14 * 6.25 ≈ 19.625 square inches

Since there are two bases in a cylinder, we multiply this value by 2 to get the total area of both bases:

Total Base Area = 2 * 19.625 = 39.25 square inches

Therefore, the total area of the two bases of the cylindrical can is approximately 39.25 square inches.
The diameter of the base of a cylindrical can is 5 inches. The height of the can is 7.5 inches. Determine total area of two bases. Round your answer to the nearest tenth (Use 3.14 for π.)
The formula for the area of a circle (the base of the cylinder) is πr^2, where r is the radius of the circle. Since we're given the diameter of the base (5 inches), we first need to calculate the radius by dividing the diameter by 2.

Radius (r) = Diameter / 2 = 5 inches / 2 = 2.5 inches

Now we can calculate the area of one base of the cylinder:

Base Area = π(2.5 inches)^2 = 3.14 * 2.5^2 = 3.14 * 6.25 = 19.625 square inches

Since there are two bases in a cylinder, we multiply this value by 2 to get the total area of both bases:

Total Base Area = 2 * 19.625 = 39.25 square inches

Therefore, the total area of the two bases of the cylindrical can is 39.25 square inches, rounded to the nearest tenth.