Question
An image shows a triangular prism with a length of 25, width of 10 and a height of 10
provide the lateral surface area, the total surface area and the volume
provide the lateral surface area, the total surface area and the volume
Answers
GPT 3.5
The lateral surface area of a triangular prism is calculated by finding the perimeter of the base triangle and then multiplying that by the height of the prism.
In this case, the base triangle has a length of 25 and a width of 10. The perimeter of the base triangle is:
Perimeter = 25 + 10 + 25 = 60
The lateral surface area = perimeter x height
Lateral surface area = 60 x 10 = 600 square units
The total surface area of a triangular prism is the sum of the lateral surface area and the area of the two triangular bases.
The area of each triangular base = 0.5 x base x height
Area of each triangular base = 0.5 x 25 x 10 = 125 square units
Total surface area = 2 x area of base + lateral surface area
Total surface area = 2(125) + 600 = 250 + 600 = 850 square units
To calculate the volume of a triangular prism, multiply the area of the base triangle by the height of the prism.
Volume = 0.5 x base x height x height
Volume = 0.5 x 25 x 10 x 10 = 125 x 10 = 1250 cubic units
Therefore, the lateral surface area is 600 square units, the total surface area is 850 square units, and the volume is 1250 cubic units.
In this case, the base triangle has a length of 25 and a width of 10. The perimeter of the base triangle is:
Perimeter = 25 + 10 + 25 = 60
The lateral surface area = perimeter x height
Lateral surface area = 60 x 10 = 600 square units
The total surface area of a triangular prism is the sum of the lateral surface area and the area of the two triangular bases.
The area of each triangular base = 0.5 x base x height
Area of each triangular base = 0.5 x 25 x 10 = 125 square units
Total surface area = 2 x area of base + lateral surface area
Total surface area = 2(125) + 600 = 250 + 600 = 850 square units
To calculate the volume of a triangular prism, multiply the area of the base triangle by the height of the prism.
Volume = 0.5 x base x height x height
Volume = 0.5 x 25 x 10 x 10 = 125 x 10 = 1250 cubic units
Therefore, the lateral surface area is 600 square units, the total surface area is 850 square units, and the volume is 1250 cubic units.