10. Modeling in Two & Three Dimensions

10.01 Areas of circles and sectors

10.02 Modeling with 2D figures

10.03 Prisms and cylinders

10.04 Pyramids and cones

10.06 Modeling with 3D figures

United States of America Tennessee

Geometry

10.03 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 cube shown.

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

Outcomes

G.N.Q.A.1

Use units as a way to understand real-world problems.*

G.N.Q.A.1.A

Use appropriate quantities in formulas, converting units as necessary.

G.N.Q.A.1.C

Choose an appropriate level of accuracy when reporting quantities.

G.GMD.A.1

Understand and explain the formulas for the volume and surface area of a cylinder, cone, prism, and pyramid.

G.GMD.A.2

Use volume and surface area formulas for cylinders, cones, prisms, pyramids, and spheres to solve problems in a real-world context.*

G.MG.A.1

Use geometric shapes, their measures, and their properties to model objects found in a real-world context for the purpose of approximating solutions to problems.*

G.MP1

Make sense of problems and persevere in solving them.

G.MP2

Reason abstractly and quantitatively.

G.MP3

Construct viable arguments and critique the reasoning of others.

G.MP4

Model with mathematics.

G.MP5

Use appropriate tools strategically.

G.MP6

Attend to precision.

G.MP7

Look for and make use of structure.

G.MP8

Look for and express regularity in repeated reasoning.

What is Mathspace

About Mathspace