Unit 6

Definitions/Labeling

100

Describe Volume

The amount of units that fits inside an object 

200

What is the difference between volume and surface area?

Volume is the space inside a figure; surface area is the combined area of all the outside surfaces of a figure

300

What is the term for a unit of volume made by a cube with all edges one unit long?

Cubic unit

400

How do you label volume and why?

Units Cubed (cubic units), because the space inside a figure is 3-dimensional, and cubic units are 3-dimensional

Equations

100

Which formula for volume is correct? V=Bh, V= lwh, or both?

Both; base is length times width.

200

What equation would you use to find the volume of this prism?

(Picture C)

V=Rp

300

What equation would you use to find the volume of this prism?

Picture d

V = f³

400

What equation would you use to find the volume of this prism?

Picture e

V=w²q

Find the Volume

100

Find the Volume

3 m x 8 m x 2 m

Picture f

V=48  m³

200

Find the Volume

⅓ cm x ⅓ cm x ⅓ cm

Picture g

V=1/27 cm³

300

Find the Volume

½ in x ⅓ in x ¾ in

Picture h

V=1/8 in³

400

Find the Volume

4 ½ cm x 2 cm x ¾ cm

Picture I

V= 27/4 cm³ or 6 3/4 cm³

500

Find the Volume

1 ⅓ m x 2 ¾ m x 1 ½ m

Picture J

V= 22/4 or 5 1/2 m³

Story Problems

100

Kamden has a box of cereal that is 11 inches tall, 8 inches long and 2 inches wide. What is the volume of the box of cereal?

The Volume is 176 inches³

200

Sam is building a sandboxin her backyard. The base of the sandpit has the area of 48 inches². The height is 3 inches. What is the volume of the sandbox?

The volume of the sandbox is 144 in³

300

A box of popcorn has a volume of 42 inches³. If the box is 7 inches tall and 3 inches wide, how long is the box? 

The box is 2 inches long. 

400

A fish tank has a volume 360 in³. The area of the base of the gift box is 18 inches², what is the height of the fish tank?

The height of the fish tank is 20 inches. 

500

A gift box has a length of 10 feet, a width of 36 inches and a height of 8 feet. What is the volume of the gift box? 

(Read carefully :) )

The volume is 240 feet³

Surprise

100

V=12 in³

l=2 in, w=3 in, h=?

h=2 inches

200

What edge lengths of unit cubes would be appropriate for filling this prisms and why? 

Pic A

⅓ ft edge lengths - ⅓ is the largest unit that would fit evenly along each edge of the prism.

300

Volume = 30 units³

h= 2 1/2 units, w= 6 units, l = ? 

l= 2 units

400

How would you find the volume of this prism using layers? 

Picture B

Find the base layer, multiply by how many layers (27 units³)

500

A container has the volume of 18 feet³. The length of the container is 24 inches, the height is 3 ft. What is the width?

The width of the container is 3 ft.