Assignment 3TMJ
2
Unit 3: Writing Assignment
Standard: The student will understand concepts of volume and relate volume to multiplication and addition.
Enhanced multiple choice questions:
1. What is the volume of the cube?
A. 1 unit
B. 3 units
C. 1 cubic unit
D. 3 cubic units
2. Which rectangular prism has a volume of 72 units cubed?
A.
B.
C.
D.
3. The diagram shows a rectangular prism being broken down to find its volume.
Which equation represents the prisms volume?
4. Makayla is growing flowers in a terracotta planter. She rotates the planter by 1/8 of a circle every day. How many degrees does Makayla rotate the planter every day.
A. 40 degrees
B. 45 degrees
C. 90 degrees
D. 120 degrees
5. The figure can hold exactly 36-unit cubes without spaces between them.
If the figure is not drawn to scale, which dimensions could be the measurements of the figure shown?
Select three (3) that apply.
A. 2x3x6
B. 12x12x12
C. 4x8x24
D. 2x2x9
E. 3x3x4
F. 4x6x12
6. Mary has sets of cement blocks (A, B, C, and D) with dimensions as shown in the table below.
|
Set Name |
Length (in feet) |
Width (in feet) |
Height (in feet) |
|
A |
2 |
4 |
3 |
|
B |
3 |
12 |
9 |
|
C |
6 |
2 |
2 |
|
D |
6 |
4 |
1 |
Which set of cement blocks will NOT result in a volume of 24 cubic feet?
A. Set A
B. Set B
C. Set C
D. Set D
7. Macy is building a bench out of concrete.
What volume of concrete will be needed for Macy to complete the bench?
A. 8 feet cubed
B. 16 feet cubed
C. 20 feet cubed
D. 24 feet cubed
8. Allen has three math textbooks for school. The dimensions of each math textbook are 14in. x 8 in. x 1 in.
What is the volume of all three math textbooks stacked together?
A. 336 in. cubed
B. 224 in. squared
C. 112 in. cubed
D. 23 in. squared
9. Mischa and Micah are filling a glass rectangular prism with sand that they have collected from various beaches around the world.
If Mischa and Micah fill the prism without any overflow, how much sand do they use?
A. 300 cubic inches
B. 240 cubic inches
C. 80 cubic inches
D. 21 cubic inches
10. Examine the tissue box.
What is the volume of the tissue box?
A. 21 cubic inches
B. 64 cubic inches
C. 120 cubic inches
D. 240 cubic inches
11. The picture shows a rectangular prism being filled with cubic units.
How many total cubic units are needed to fill in the rectangular prism?
A. 12 cubic units
B. 27 cubic units
C. 48 cubic units
D. 64 cubic units
12. What is the volume of the rectangular box?
A. 9 cubic units
B. 12 cubic units
C. 20 cubic units
D. 30 cubic units
Constructed response questions:
13. The dimensions of Michael’s kitchen are 10 feet by 18 feet. The dimensions of Michael’s man cave are 14 feet by 20 feet by 8 feet. What is the total volume, in cubic feet, of the two rooms? Show your work below and place your final answer on the line below.
Answer: _______________ cubic feet
14. A box has a length of 7 centimeters, a width of 5 centimeters, and a height of 8 centimeters. What is the total volume of the box? Show your work and place the final answer in the box below.
|
_________ cubic centimeters |
15. Alex ran 4 yards and 2 feet. Carlos ran 5 yards. Enos ran 2 yards and 4 feet less than Carlos. How many total feet did they run?
Show your work and write your answer in the box below.
|
feet |
16. Quay works at a bakery that sales cupcakes, cakes, and pies.
Avery ordered the cake shown below.
What is the volume of the cake in cubic inches? Show your work and place your answer on the line below.
__________________ cubic inches
17. Shakira ordered the cake shown below.
What is the volume of the cake?
________________________ cubic inches
18. What is the volume of the rectangular prism shown below?
Place your answer on the line below.
_________________ cubic centimeters
19. Find the base of the same rectangular prism in question 18.
Base = __________ x ____________
Place your answer on the line below.
________________
20. Find the volume of the luggage.
L = 3ft., W = 3ft., H = 2ft.
Solve to show your work and place your answer on the line below.
_________________________
21. Jerry fills two boxes with one-centimeter cubes (Box A and Box B).
How many cubes can Jerry get into box A? ____________
Explain how you got your answer. ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
How many cubes can Jerry fit into Box B? ____________________
Show your calculations below.
Which of the boxes holds more cubes? ______________________________
22. Look at the cubes below.
The total volume of each cube equals 250 centimeters cubed.
What is the volume of each individual cube? Explain how you came up with your answer on the lines below. ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
What other measurements must you look for in order to get the correct answer. __________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Solve each measurement and explain how you came up with your answer. ________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
23. Lyinkas’ doctor suggests that she drinks 8 fluid ounces of water 8 times a day. Lyinka has a bottle that holds 1 ¼ pints of water when filled. Over the course of the day, Lyinka has filled the water bottle three times and drank all of the water each time. Lyinka claims that she drank the total amount of water recommended by her doctor. Explain why Lyinkas’ claim is false.
______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
24. The science teacher has 0.4 liters of diet coke. She gives each of her students a container and a 5-milliliter spoon. Shen then asks her 22 students to put two spoonfuls of diet coke into their containers. How many milliliters of diet coke will be left after all 22 students have filled their containers? Explain what process you should use to come up with the answer to this question.
____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
25. A right rectangular prism is shown below.
How would you determine the volume of the prism?
________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
References
Mississippi Department of Education (2016). Mississippi college and career readiness for mathematics scaffolding document seventh grade. Retrieved from mdek12default.org/sites/default/files/Offices/Secondary%20Ed/ELA/ccr/Math/07.Grade-7-Math-Scaffolding-Doc-pdf