2) How much wrapping paper will I need to cover this box?

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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 in 4 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:

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Do Now:. 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]. 2) How much wrapping paper will I need to cover this box?. 6 in. 4 in. 8 in. - PowerPoint PPT Presentation

Transcript of 2) How much wrapping paper will I need to cover this box?

Page 1: 2) How much wrapping paper will I need to cover this box?

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:

Page 2: 2) How much wrapping paper will I need to cover this box?

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

Page 3: 2) How much wrapping paper will I need to cover this box?

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.

Page 4: 2) How much wrapping paper will I need to cover this box?

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.

Page 5: 2) How much wrapping paper will I need to cover this box?

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.

Page 6: 2) How much wrapping paper will I need to cover this box?

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)

Page 7: 2) How much wrapping paper will I need to cover this box?

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.

Page 8: 2) How much wrapping paper will I need to cover this box?

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

Page 9: 2) How much wrapping paper will I need to cover this box?

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.

Page 10: 2) How much wrapping paper will I need to cover this box?

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.

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Aim: How do we find the volume of prisms and cylinders?

1.

2

3.