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Unit 5, Lesson 12

Prisms and Pyramids

Geometry

Practice

Problem 1
Student Task Statement
Give each solid a geometric name. Be as precise as you can.

A

B

C

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Problem 2

Student Task Statement

Each set of two-dimensional shapes is the complete list of faces from a particular solid. Match each set of shapes with the solid they came from.

2 congruent triangles and 3 rectangles
4 triangles and 1 rectangle
2 squares and 4 congruent parallelograms
4 congruent, equilateral triangles

right triangular prism
oblique square prism
triangular pyramid
rectangular pyramid

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Problem 3

Student Task Statement

These 3 congruent square pyramids can be assembled into a cube with side length 1 foot. What is the volume of each pyramid?

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Problem 4

ForLesson 11: Prisms Practice

Student Task Statement

A prism has a height of 4 inches and a volume of 120 cubic inches. Select all figures that could be the base for this prism.

a 5 inch by 6 inch rectangle
a square with side length 5 inches
a circle with radius 5 inches
a star-shaped base with area 30 square inches
a right triangle with legs 5 inches and 12 inches

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Problem 5

ForLesson 11: Prisms Practice

Student Task Statement

This prism has a right triangle for a base. The volume of the prism is 54 cubic units. What is the value of ?

<p>Prism with base that is triangle A, B C. Angle A, C B is a right angle. C A, length 4. A, B length 5. Second base triangle D E F, Angle D F E is a right angle. C F, length h.</p>

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Problem 6

ForLesson 10: Cross-Sections and Volume

Student Task Statement

This solid has curved sides. All cross-sections parallel to the base are squares measuring 3 units on each side. The height from the base to the top is 5 units. What is the volume of this solid?

<p>Solid with curved sides. Top and bottom bases are squares, side lengths = 3.</p>

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Problem 7

ForLesson 9: Cylinder Volumes

Student Task Statement

Find the volume of each solid.

a cylinder with radius 3 inches and height 2 inches
a hexagonal prism whose base has area 4.5 square centimeters and whose height is 7 centimeters
a prism 5 feet tall whose base is a right triangle with leg lengths feet and 9 feet

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Problem 8

ForLesson 4: Scaling and Area

Student Task Statement

A circle with an area of square units is dilated using a scale factor of 5. What is the area of the dilated circle?

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Practice

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Unit

Lesson

Settings

Audience

Assessment Access

Prisms and Pyramids

Practice

Problem 1

Student Task Statement

Problem 2

Student Task Statement

Problem 3

Student Task Statement

Problem 4

Student Task Statement

Problem 5

Student Task Statement

Problem 6

Student Task Statement

Problem 7

Student Task Statement

Problem 8

Student Task Statement

Lesson 12 Resources