To calculate the surface area of the triangular prism, we need to find the area of each face and add them together.
1. Area of the triangular face:
Area = 0.5 * base * height
Area = 0.5 * 27.9 * 5.1
Area = 71.145 square centimeters
2. Area of the rectangular faces:
Area = perimeter of the triangular face * length
Perimeter = sum of all edges of the base
Perimeter = 27.9 + 30.5 + 28.4
Perimeter = 86.8 centimeters
Area = 86.8 * 30.5
Area = 2643.4 square centimeters
Total surface area = 2 * area of triangular face + 3 * area of rectangular face
Total surface area = 2 * 71.145 + 3 * 2643.4
Total surface area = 5283.47 square centimeters
Therefore, approximately 5283 square centimeters of wrapping paper is needed to wrap the toy.
An illustration shows a 3 D triangular prism with the triangular face as a right triangle. The edges that are not visible are represented by dashed lines. The length and base of the triangular prism measures 30.5 centimeters and 27.9 centimeters. The perpendicular side of the triangular face measures 5.1 centimeter and the hypotenuse measures 28.4 centimeter.
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.
Can I have the correct answer pls?
3 answers
I don't believe you
Let's go through the calculation step by step again:
1. Calculate the area of the triangular face:
Area = 0.5 * base * height
Area = 0.5 * 27.9 * 5.1
Area = 71.145 square centimeters
2. Calculate the area of the rectangular faces:
Perimeter of the triangular face = 27.9 + 30.5 + 28.4 = 86.8 cm
Length of the prism = 30.5 cm
Area of one rectangular face = perimeter of the triangular face * length
Area of one rectangular face = 86.8 * 30.5 = 2643.4 square centimeters
3. Total surface area of the triangular prism:
Total surface area = 2 * area of triangular face + 3 * area of rectangular face
Total surface area = 2 * 71.145 + 3 * 2643.4
Total surface area = 142.29 + 7930.2
Total surface area = 8072.49 square centimeters
Round to the nearest whole number, the wrapping paper needed to wrap the toy is approximately 8072 square centimeters.
1. Calculate the area of the triangular face:
Area = 0.5 * base * height
Area = 0.5 * 27.9 * 5.1
Area = 71.145 square centimeters
2. Calculate the area of the rectangular faces:
Perimeter of the triangular face = 27.9 + 30.5 + 28.4 = 86.8 cm
Length of the prism = 30.5 cm
Area of one rectangular face = perimeter of the triangular face * length
Area of one rectangular face = 86.8 * 30.5 = 2643.4 square centimeters
3. Total surface area of the triangular prism:
Total surface area = 2 * area of triangular face + 3 * area of rectangular face
Total surface area = 2 * 71.145 + 3 * 2643.4
Total surface area = 142.29 + 7930.2
Total surface area = 8072.49 square centimeters
Round to the nearest whole number, the wrapping paper needed to wrap the toy is approximately 8072 square centimeters.
1 answer