Boxes
Multiplication/Division
Gaps
Vocabulary
Mystery Box-es
100
What is the name of a cube that has dimensions of 1 unit x 1 unit x 1 unit?
UNIT CUBE
or
CUBIC UNIT
100
257 x 50 = ?
12850
100
How many cubes? (WORK AND UNITS)
7 units x 5 units x 3 units = 105 cubic units
100
What is cube?
A 3-d figure with the same side lengths.
100
A box is in the shape of a right rectangular prism. The base of the box has an area of 15 square inches. The height of the box is 12 inches. What is the volume, in cubic inches, of the box? (WORK and UNITS)
15 square inches x 12 inches = 180 cubic inches
200
What is the volume and dimensions of this rectangular prism? (UNITS)
4 units x 2 units x 3 units =
24 cubic units or 24 units3
200
A restaurant purchased 160 boxes of mustard packets. Each box contained 103 packets of mustard. How many mustard packets in total did the restaurant purchase?
160 boxes x 103 packets of mustard
20,800 packets of mustard
200
Dimensions and how many cubes?
6 units x 2 units x 5 units = 70 cubic units
200
What is a unit cube?
A 3-D figure with the same side lengths of 1 unit. (Length, Width, and Height have the same measure of 1 unit).
200
The closet is 6 feet wide, 5 feet deep and 8 feet tall. In the closet, there is a suitcase that is 2 feet wide, 3 feet long and 4 feet tall. How much room is left in the closet? (Work and Units)
Closet: 6 ft x 5 ft x 8 ft = 240 ft3
Suitcase: 2 ft x 3 ft x 4 ft = 24 ft3
240 - 24 = 216 ft3
300
What are the dimensions and the volume of this rectangular prism? (UNITS)
3 units x 3 units x 3 units =
27 cubic units or 27 units3
300
A Girl Scout troop leader has 112 cookies to divide among 24 Girl Scouts. How many cookies does each Girl Scout get and how many are left over?
112 / 24 = 4 cookies and 16 cookies left over
300
What is the volume? (WORK and UNITS)
The top and bottom Boxes are:
8m x 4m x 5m = 160 m3
Left hand box is
15m x 5m x 5m = 375m3
160m3 + 375m3 = 535m3
300
Name five more words that can mean the same words as below in a volume problem (Hint: Some words are VERY similar.)
Length
Width
Height
All: Edges
Width: Depth, Wide
Height: Layers, Tall
Length: Long
300
Which fish tank is bigger? (Work and Units)
Lizzie's: 2 in x 6 in x 5 in = 60 in3
Lonnie's: 3 in x 5 in x 4 in = 60 in3
They are both the same volume.
400
Which phrase best describes a figure with dimensions of 2 units by 2 units by 4 units and a volume of 16 cubic units? (DRAW OR SHOW YOUR WORK)
A) A solid figure that can be covered with 1 square that measures 16 units on each edge
B) A solid figure that can be filled with 1 cube that measures 16 units on each edge
C) A solid figure that can be covered with 16 squares that each measure 1 square unit
D) A solid figure that can be filled with 16 cubes that each measure 1 cubic unit
2 units x 2 units x 4 units = 16 cubic units
A) 2-D square with 16 units x 16 units
B) NO (16 units x 16 units x 16 units)
C) Surface Area and 2-D shape
D) YES
400
4857 / 21 = 231 R6
21 x 231 = 4851 + 6 = 4857
400
Cube A measures 5m x 5m x 5m. Cube B has twice the length, height, and width of Cube A.
Part A) Find the volume and dimensions of Cube B. Part B) Is the volume doubled as well, if not how many times bigger?
Part A)
5m x 5m x 5m = 125m3
10m x 10m x 10m = 1000m3
Part B) 8 times bigger
1000/125 = 8
400
Name all the ways to find volume and tell me the units with the correct exponent. Example: units, units2, and units3
L x W x H = (units)
Base (units2) x Height (units)
Area (units2) x Height (units)
400
A box has these dimensions - What is the volume?
Length: (4 + 3 x 25 - 50) in
Width: (10 + 23 / 2) in
Height: (32 + 10 - 2) in
Length: ( 4 + 75 - 50 ) = (79 - 50) = 29 inches
Width: (10 + 8/2) = (10 + 4) = 14 inches
Height: (9 + 10 - 2) = 19 - 2 = 17 inches
29 x 14 x 17 = 6902 cubic inches
500
What is the volume of this figure?
Box 2 and Box 3:
4 ft x 4 ft x 1 ft = 16 ft3 x 2 = 32 ft3
Box 1:
7 ft x 3 ft x 1 ft = 21 ft3
32 + 21 = 53 ft3
500
There are 720 students at a school. All the students at the school are going on a field trip to a science museum. The students will ride school buses to the museum. Each bus holds 60 students when completely full. (SHOW WORK + THREE PARTS)
Part A and Part B) What is the least number of buses needed to take all the students from the school to the science museum? Write an equation to represent the problem and solve.
Part C) The school can also use smaller buses to take the students to the museum. Each smaller bus holds 50 students when completely full. What is the least number of smaller buses needed to take all the students from the school to the science museum? Write an equation to represent the problem and solve.
Part A and Part B) 720 students / 60 students per bus = 12 buses
Part C) 720 students / 50 students = 14 buses with 20 students left = 15 buses
500
A company recently started shipping its products in boxes with the following dimensions: 8 ft x 20 ft x 2 ft. The boxes the company previously used had dimensions of 4 ft x 2 ft x 2 ft.
Part A) How much larger is the volume of the new boxes?
Park B) How many times larger is the volume of the new boxes? (Work and Units)
New box: 8 ft x 20 ft x 2 ft = 320 ft3
Old box: 4 ft x 2 ft x 2 ft = 16 ft3
Part A: 320 - 16 = 304 ft3
Part B: 320 ft3 / 16 ft3 = 20 times bigger
500
List a chart with all the dimensions from 0 to 3, an example for each, and units for the dimensions that uses it. (Be careful of details in your drawing)
0-D = Dot = .
1-D = Line (units) = <-->
2-D = Flat shape = Area (units2) = Square, Circle, Triangle, Rectangle
3-D = Volume (units3) = Rectangular Prism, Cube, Cone, Sphere
500
Dimensions: 4 x 3 x 5 = 60 cubic units
New volume - Any dimensions that give 40 cubic units
4 x 10 x 1 = 40 cubic units
2 x 10 x 2
4 x 5 x 2
8 x 5 x 1