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IM K-5 Math
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6-8 Grade 8 Unit 5 Lesson 12

Gradeband

K-5 Math •6-8 Math 9-12 Math

Course

Grade 6 Grade 7 •Grade 8

Unit

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

Lesson

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 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson 19 Lesson 20 Lesson 21 Lesson 22

K-5
6-8
9-12

Grade 6
Grade 7
Grade 8

Accelerated 6
Accelerated 7

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

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
Lesson 14
Lesson 15
Lesson 16
Lesson 17
Lesson 18
Lesson 19
Lesson 20
Lesson 21
Lesson 22

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Unit 5, Lesson 12

How Much Will Fit?

Grade 8

Practice

Problem 1
Student Task Statement
Sketch a cube, and label its side length as 4 cm (this will be Cube A).

Sketch a cube with sides that are twice as long as Cube A and label its side length (this will be Cube B).

Find the volumes of Cube A and Cube B.
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Lesson 12 Resources

Student Materials Student Materials in Spanish

Problem 2

Student Task Statement

Two paper drink cups are shaped like cones. The small cone can hold 6 oz of water. The large cone is the height and the diameter of the small cone. Which of these could be the amount of water the large cone holds?

8 cm
14 oz
4.5 oz
14 cm

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Problem 3

ForLesson 7: Connecting Representations of Functions

Student Task Statement

The graph represents the volume of a cylinder with a height equal to its radius.

When the diameter is 2 cm, what is the radius of the cylinder?
Express the volume of a cube of side length as an equation.
Make a table for volume of the cube at 0 cm, 1 cm, 2 cm, and 3 cm.
Which volume is greater: the volume of the cube when 3 cm, or the volume of the cylinder when its diameter is 3 cm?

A coordinate plane, horizontal, diameter of a cylinder, 0 to 3 by ones, vertical, volume of the cylinder, 0 to 11 by ones. Curve begins at the origin, through (2 comma 3) and (3 comma 10 point 6).

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Problem 4

ForLesson 10: Calculating Slope

Student Task Statement

Select all the points that are on a line with slope that also contains the point .

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Problem 5

Student Task Statement

Several glass aquariums of various sizes are for sale at a pet shop. They are all shaped like rectangular prisms. A 15-gallon tank is 24 inches long, 12 inches wide, and 12 inches tall. Match the dimensions of the other tanks with the volume of water they can each hold.

Tank 1: 36 inches long, 18 inches wide, and 12 inches tall
Tank 2: 16 inches long, 8 inches wide, and 10 inches tall
Tank 3: 36 inches long, 12 inches wide, and 12 inches tall
Tank 4: 20 inches long, 10 inches wide, and 12 inches tall

5 gallons
10 gallons
20 gallons
30 gallons

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Problem 6

ForLesson 14: Solving More Systems

Student Task Statement

Solve:

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