Today’s Lesson:

What: volume of prisms and cylinders

Why: To calculate the volume of both rectangular prisms and cylinders.

Vocabulary:

Rectangular Prism-- a 3-D figure that is comprised of six ____________faces (a “box”).

Cube– a special type of ____________________ where each face is a ___________________.

Cylinder– a 3-D figure with circular __________________ for both the top and the bottom.

Radius-- refers to the line segment that __________________________ in the center and extends to the circumference line (edge).

Diameter– refers to the line segment that extends the entire way _______________ a circle. The diameter splits the circle into two _____________ halves.

Volume— the measure of ___________ occupied by a solid region.

rectangular

rectangular prism square

faces

begins

across

equal

space

Key words for volume:

Volume of a PRISM:

1)

V = lwh

12 cm

5 cm4 cm

240 cm.³

Volume of a PRISM:

2)

V = lwh

3.5 cm14

cm

98 cm.³

2 cm

Volume of a PRISM:

3)

V = lwh

7 cm

343 cm.³

Volume of CYLINDERS:

1)

V = 𝛑 r h²

15 cm

4 cm

188.4 cm.³

Volume of CYLINDERS:

2)

V = 𝛑 r h²

4.5 cm

2.5 cm

≈ 88.3 cm.³

Volume of CYLINDERS:

3)

V = 𝛑 r h²

10 cm

6 cm

282.6 cm.³

Volume word problems:

1)

MaryBeth is filling a sandbox with sand. If the sandbox is seven feet in length, two feet in height, and four feet in width, how much sand can the sandbox hold?

56 ft.³

Volume word problems:

2)

Joe is pouring coffee into his coffee mug. The mug is 7 in. tall, and its bottom has a diameter of 4 in. How much coffee does Joe’s mug hold?

87.92 in.³

END OF LESSON

The next slides are student copies of the notes for this lesson. These notes were handed out in class

and filled-in as the lesson progressed.

NOTE: The last slide(s) in any lesson slideshow (entitled “Practice Work”)

represent the homework assigned for that day.

Vocabulary:

Rectangular Prism-- a 3-D figure that is comprised of six _____________ faces (a “box”).

Cube– a special type of _______________________ where each face is a ___________________.

Cylinder– a 3-D figure with circular __________________ for both the top and the bottom.

Radius-- refers to the line segment that __________________________ in the center and extends to the circumference line (edge).

Diameter– refers to the line segment that extends the entire way _______________ a circle. The diameter splits the circle into two _____________ halves.

Volume— the measure of ___________ occupied by a solid region.

Volume of a PRISM:

1) 2) 3)

Math-7 NOTES DATE: ______/_______/_______What: volume of prisms and cylinders

Why: To calculate the volume of both rectangular prisms and cylinders.NAME:

Key words for volume:

V = lwh

12 cm

7 cm

5 cm4 cm

3.5 cm

14 c

m

2 cm

Volume of CYLINDERS:

1) 2) 3)

V = 𝛑 r h²

15 cm

4 cm4.5 cm

2.5 cm

10 cm

6 cm

Volume word problems:

1. MaryBeth is filling a sandbox with sand. If the sandbox is seven feet in length, two feet in height, and four feet in width, how much sand can the sandbox hold?

2. Joe is pouring coffee into his coffee mug. The mug is 7 in. tall, and its

bottom has a diameter of 4 in. How much coffee does Joe’s mug hold?

Math-7 Practice“Volume of prisms and Cyliners”

NAME: _________________________________________________________________________________DATE: ______/_______/_______