9. Modeling in Two and Three dimensions

9.01 Area and perimeter

9.02 Cross sections and revolutions of solids

9.03 Prisms and cylinders

9.04 Pyramids and cones

9.06 Geometric modeling (M)

9.07 Similarity in 2D and 3D figures

United States of America

Grades 9-12

9.03 Prisms and cylinders

Adaptive

Worksheet

Interactive practice questions

Find the volume of the rectangular prism shown.

A three-dimensional rectangular prism is depicted with its dimensions labeled. The height is labeled as $3$ cm, the width as $2$ cm, and the length as $8$ cm.

Easy

< 1min

Find the volume of the triangular prism shown.

Medium

< 1min

Find the volume of the prism by finding the base area first.

Medium

1min

Find the volume of the following prism by finding the base area first.

Medium

< 1min

Outcomes

A.SSE.A.1

Interpret expressions that represent a quantity in terms of its context.

A.SSE.A.1.B

Interpret complicated expressions by viewing one or more of their parts as a single entity.

A.CED.A.4

Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

G.GMD.A.1

Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri's principle, and informal limit arguments.

G.GMD.A.3

Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

G.MG.A.1

Use geometric shapes, their measures, and their properties to describe objects.

G.MG.A.2

Apply concepts of density based on area and volume in modeling situations.

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