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Grade 12 Math: Triangular Prisms

This worksheet focuses on understanding and calculating properties of triangular prisms, including surface area and volume.

Grade 12 Math GeometryTriangular Prisms
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Includes

4 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSG.GMD.B.4CCSS.MATH.CONTENT.HSG.GMD.A.3
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Triangular Prisms: Surface Area and Volume

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Read each question carefully and provide your answers in the space provided. Show all your work for full credit.

1. Define what a triangular prism is and describe its key characteristics.

2. A triangular prism has   faces,   edges, and   vertices.

8 cm8 cm6 cm10 cm

3. Calculate the surface area of the triangular prism shown, given that the base is an equilateral triangle with side length 8 cm and the prism's height is 10 cm. The height of the triangular base is 6.93 cm.

12 in12 in10.4 in15 in

4. A triangular prism has a base that is an isosceles triangle with a base of 12 inches and a height of 10.4 inches. If the length of the prism is 15 inches, what is its volume?

5. Which of the following is the correct formula for the volume of any prism?

a

V = lwh

b

V = πr²h

c

V = Bh (Area of Base × Height)

d

V = (1/3)Bh

6. All lateral faces of a triangular prism are always rectangles.

T

True

F

False

7. A chocolate bar is in the shape of a triangular prism. The triangular ends have a base of 4 cm and a height of 3 cm. The length of the chocolate bar is 15 cm. If the chocolate costs $0.50 per cubic centimeter, what is the total cost of the chocolate bar?