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6-8 Accelerated 6 Unit 1 Lesson 11

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K-5 Math •6-8 Math 9-12 Math

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•Accelerated 6 Accelerated 7

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•Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8 Unit 9

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 •Lesson 11 Lesson 12 Lesson 13

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IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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Unit 1, Lesson 11

Polyhedra and Nets

Accelerated 6

Practice

Problem 1

Is this polyhedron a prism, a pyramid, or neither? Explain how you know.
How many faces, edges, and vertices does it have?

<p>Prism with octagons as faces.</p>

Problem 2

What polyhedron can be assembled from this net? Explain how you know.

net on a grid. 3 adjacent rectangles, from left to right 4 by 5 units, 3 by 5 units, 5 by 5 units. above and below first rectangle are triangles with base = 4 units, height = 3 units.
Find the surface area of this polyhedron. Show your reasoning.

Problem 3

Here are two three-dimensional figures.

Tell whether each of the following statements describes Figure A, Figure B, both, or neither.

<p>Figure A triangular prism. Figure B triangular pyramid.</p>

This figure is a polyhedron.
This figure has triangular faces.
There are more vertices than edges in this figure.
This figure has rectangular faces.
This figure is a pyramid.
There is exactly one face that can be the base for this figure.
The base of this figure is a triangle.
This figure has two identical and parallel faces that can be the base.

Problem 4

ForLesson 9: Polygons

Find the area of this polygon. Show your reasoning.

An image of a 7-sided polygon. The bottom side of the polygon is six units long, and extends out to a total width of 10 units, and a central height of 6 units.

Problem 5

ForLesson 8: Formula for the Area of a Triangle

A parallelogram has a base of 12 meters and a height of 1.5 meters. What is its area?
A triangle has a base of 16 inches and a height of \(\frac18\) inches. What is its area?
A parallelogram has an area of 28 square feet and a height of 4 feet. What is its base?
A triangle has an area of 32 square millimeters and a base of 8 millimeters. What is its height?