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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.

Grade 11 Math GeometryTriangular Prisms
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Includes

4 Short AnswerFill in the BlanksMultiple Choice

Standards

CCSS.MATH.CONTENT.HSG.GMD.A.3

Topics

MathGeometryTriangular PrismsSurface AreaVolumeGrade 11
8 sections · Free to use · Printable
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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 cm4 cm10 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?

a

V = lwh

b

V = Bh

c

V = (1/3)Bh

d

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.