Volume and Surface Area of Prisms

A Grade 11 math worksheet covering volume and surface area calculations for various prisms, including rectangular and triangular prisms.

Grade 11 Math GeometryVolume and Surface Area of Prisms

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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSG.GMD.A.3CCSS.MATH.CONTENT.HSG.MG.A.1

Topics

mathgeometryvolumesurface areaprismsgrade 11

8 sections · Free to use · Printable

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Volume and Surface Area of Prisms

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Read each question carefully and show all your work. Round your answers to two decimal places where appropriate.

1. A rectangular prism has a length of 8 cm, a width of 5 cm, and a height of 10 cm. Calculate its volume and surface area.

Volume:

Surface Area:

2. A triangular prism has a base that is a right triangle with legs of 6 cm and 8 cm. The height of the prism is 12 cm. The area of the base is cm², and the volume of the prism is cm³.

Area of Base:

Volume:

3. Which of the following formulas represents the lateral surface area of a right prism?

V = Bh

SA = 2B + Ph

LSA = Ph

LSA = 2lw + 2lh + 2wh

4. A prism has a base area of 45 square inches and a height of 7 inches. What is its volume?

5. The surface area of a prism is always the sum of the areas of its bases and its lateral faces.

True

False

6. A prism has a hexagonal base with an area of 60 cm². If the height of the prism is 9 cm, what is its volume?