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.
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
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