Topics
9. Modeling in Two and Three dimensions
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United States of America
Grades 9-12

9.04 Pyramids and cones

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Find the exact volume of the right pyramid pictured.

A pyramid having a base with four sides is illustrated with solid lines forming the base and the edges leading to the apex. The base has two sides adjacent to each other that measures 11 mm. A line is drawn from the apex perpendicular to the base, and this line is measures 7 mm. The line intersects the base at a right angle, indicated by a small square symbol. Dotted lines are used to show edges of the base that are not directly visible from the perspective of the pyramid.
Easy
1min

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

Medium
3min

Find the volume of the rectangular pyramid shown.

Medium
1min

Find the volume of the square pyramid shown.

Medium
1min
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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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