Triangular Prisms: Surface Area and Volume
This worksheet focuses on calculating the surface area and volume of triangular prisms, suitable for Grade 11 math students.
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Triangular Prisms: Surface Area and Volume
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Read each question carefully and provide detailed answers. Show all your work for full credit.
1. Describe the key characteristics of a triangular prism. How does it differ from a triangular pyramid?
2. Calculate the surface area of the triangular prism shown below. Assume the triangular bases are right-angled triangles with legs of 3 cm and 4 cm, and the prism's height is 10 cm.
3. The two parallel and congruent faces of a triangular prism are called its .
4. The distance between the two bases of a triangular prism is known as its .
5. A triangular prism has a base area of 24 cm² and a height of 12 cm. What is its volume?
6. Which of the following formulas is used to calculate the volume of a triangular prism?
V = lwh
V = Bh
V = (1/3)Bh
V = 2B + Ph
7. A tent is shaped like a triangular prism. The front of the tent is an equilateral triangle with sides of 2.5 meters. The length of the tent is 4 meters. Find the volume of the tent.
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