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

10.04 Pyramids and cones

Adaptive

Worksheet

Interactive practice questions

Find the volume of the rectangular pyramid shown.

A rectangular pyramid with a dashed line representing the height of $5$ cm drawn perpendicularly from the apex to the base. The base is a rectangle. The length of the base is marked with single hash marks and measures $8$ cm. The width of the base is marked with double hash marks and measures $12$ cm. The point where the height meets the base is indicated by a right angle symbol.

Easy

1min

Find the volume of the square pyramid shown.

Easy

1min

Find the exact volume of the right pyramid pictured.

Easy

1min

We wish to find the volume of the following right pyramid.

Medium

3min

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.

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