Aim: How do we find the volume of prisms and cylinders?
2) How much wrapping paper will I need to cover this box?
6 in
8 in4 in
1) Tom is running a 8 mile marathon. His goal is to complete the marathon in 2 hours. At what rate should Tom run to meet his goal? Use the formula, below to find your answer. Show Work! [D=RT]
Do Now:
Aim: How do we find the volume of prisms and cylinders?I want to fill the box with as much candy as it can hold. Each candy is in the shape of a 1 inch cube.
1) How many candy cubes can will fill the bottom of the box?Box
Candy Cubes
1 in
1 in1 in
6 in
8 in
4 in
2) How many cubes can I stack along the height of the box?
L x W = 8 x 4 = 32 cubes
L X W x H = 8 x 4 x 6 = 192 cubes
3) How many candy cubes can I use to fill the entire box?
6 cubes
Aim: How do we find the volume of prisms and cylinders?
l
h
Volume of a Rectangular Prism V = lwh
5 cm
V= (10) (6) (5 )
V= 300 cm3
V = lwh
w6 cm
10 cm
Find the volume of the rectangular prism.
Aim: How do we find the volume of prisms and cylinders?
7 in.
10 m
10 m5 m
3.
2 in.4 in.
1.
3 cm
2 cm5 cm
2.
Practice: Find the volume of each rectangular prism.
Aim: How do we find the volume of prisms and cylinders?
s
Volume of a cube:
V = s3
5 ft
V = s3
V= (5) (5) (5)
V= 125 ft3
Find the volume of the cube.
Aim: How do we find the volume of prisms and cylinders?
10 cm
3 ft
1.5 in
Practice: Find the volume of each cube.
1) 2)
3)
Aim: How do we find the volume of prisms and cylinders?
Volume of a Triangular Prism V = whl 2
5cm
5cm
3cm5cm
4cm
V = whl 2
V = (5)(3)(4) 2
V = 60 2
V = 30cm3
Find the volume of the triangular prism.
Aim: How do we find the volume of prisms and cylinders?
Practice: Find the volume of the triangular prisms.
7 cm
6 cm
4 cm5 cm
10 cm
1)
3)
2)
8 ft5 ft
4 ft
6 yd
9 yd
12 yd
Aim: How do we find the volume of prisms and cylinders?
r
h
volume of a cylinder
V = πr2 h V = πr
2 h
V = π(3)2 (5)
V = π(9) (5)
V = π45
3 ft
5 ft
V ≈ 141 ft3
Find the volume of the cylinder. Round to the nearest cubic foot.
Aim: How do we find the volume of prisms and cylinders?
3 cm
10 cm
5 cm
8 cm
1.
6 mm
7 mm
2.
3.
Practice: Find the volume of the cylinders. Round your answer to the nearest hundredth.
Aim: How do we find the volume of prisms and cylinders?
1.
2
3.