Transcript Slide 1

© 2007 M. Tallman
Volume- The amount of space that a 3dimensional figure encloses, measured in
cubic units or units³.
Count the
cubic units
it takes to
fill this
cube.
It took 27
cubic units
to fill this
cube. So….
V = 27 cubic units or 27 units³
© 2007 M. Tallman
Cubic units- a unit for measuring volume,
such as a cubic inch or a cubic centimeter .
1 cubic centimeter
or
1 cubic inch
or
1 centimeter³
1 inch³
© 2007 M. Tallman
Prism Length Width Height Total
(ℓ) of (w) of (h) of # of
#
Prism Prism Prism Cubes
1
2
5
3
30
3
5
2
© 2007 M. Tallman
Prism Length Width Height Total
(ℓ) of (w) of (h) of # of
#
Prism Prism Prism Cubes
1
2
5
3
30
2
3
3
2
18
2
3
© 2007 M. Tallman
3
Prism Length Width Height Total
(ℓ) of (w) of (h) of # of
#
Prism Prism Prism Cubes
1
2
5
3
30
2
3
3
2
18
3
3
5
3
45
3
5
3
© 2007 M. Tallman
Prism Length Width Height Total
(ℓ) of (w) of (h) of # of
#
Prism Prism Prism Cubes
1
2
5
3
30
2
3
3
2
18
3
3
5
3
45
4
2
2
4
16
4
2
© 2007 M. Tallman
2
Prism Length Width Height Total
(ℓ) of (w) of (h) of # of
#
Prism Prism Prism Cubes
1
2
5
3
30
2
3
3
2
18
3
3
5
3
45
4
2
2
4
16
5
3
2
4
24
© 2007 M. Tallman
4
2
3
Prism Length Width Height Total
(ℓ) of (w) of (h) of # of
#
Prism Prism Prism Cubes
1
2
5
3
30
2
3
3
2
18
3
3
5
3
45
4
2
2
4
16
5
3
2
4
24
V = ℓ × w × h or V = ℓwh
© 2007 M. Tallman
Use the formula V = ℓwh to find the
volume of the rectangular prism.
V = 5 cm × 2 cm × 4 cm
V = 10 cm² × 4 cm
4 cmV = 40 cm³
5 cm
© 2007 M. Tallman
Use the formula V = ℓwh to find the
volume of the rectangular prism.
V = 5 in × 4 in × 4 in
V = 20 in² × 4 in
4 in V = 80 in³
5 in
© 2007 M. Tallman
Use the formula V = ℓwh to find the
volume of the rectangular prism.
V = 3 yd × 2 yd × 6 yd
V = 6 yd² × 6 yd
6 yd
3 yd
© 2007 M. Tallman
V = 36 yd³
Use the formula V = ℓwh to find the
volume of the rectangular prism.
1 m
2 m
V = 2 m × 10 m × 1 m
V = 20 m² × 1 m
V = 20 m³
© 2007 M. Tallman
Use the formula V = ℓwh to find the
volume of the rectangular prism.
V = 5 m × 3 m × 10 m
V = 15 m² × 10 m
V = 150 m³
10 m
5 m
© 2007 M. Tallman
Use the formula V = ℓwh to find the
volume of the rectangular prism.
11 ft
20 ft
7 ft
V = 20 ft × 7 ft × 11 ft
V = 140 ft² × 11 ft
V = 1,540 ft³
© 2007 M. Tallman
Use the formula V = ℓwh to find the
volume of the rectangular prism.
7 in
12 in
4 in
V = 4 in × 12 in × 7 in
V = 48 in² × 7 in
V = 336 in³
© 2007 M. Tallman
Use the formula V = ℓwh to find the
volume of the rectangular prism.
6.2 cm
4.4 cm
10 cm
V = 10 cm × 6.2 cm × 4.4 cm
V = 62 cm² × 4.4 cm
V = 272.8 cm³
© 2007 M. Tallman
Use the formula V = ℓwh to find the
volume of the rectangular prism.
7 in
7 in
7 in
V = 7 in × 7 in × 7 in
V = 49 in² × 7 in
V = 343 in³
© 2007 M. Tallman
Use the formula V = ℓwh to find the
volume of the rectangular prism.
5.1 mm
8 mm
6 mm
V = 8 mm × 6 mm × 5.1 mm
V = 48 mm² × 5.1 mm
V = 244.8 mm³
© 2007 M. Tallman