Volume
10. The volume of a rectangular prism is 216 cubic centimeters. Its square base has sides that are 6 centimeters long. What is the height of the rectangular prism?
Show your work.
The height is 6 centimeters.
A school has 2,448 pencils. The pencils are divided equally among 24 classrooms. How many pencils does each classroom receive?
Each classroom will receive 102 pencils.
11. Chung has partially filled a box with unit cubes to find its volume. He needs 4 layers of cubes to fill the box.
What is the volume of the box in cubic inches? Show your work.
The volume is 96 cubic inches.
Find the product. Show your work.
1,825 × 37 = ______
67,525
9. A shipping crate in the shape of a rectangular prism has a length of 5 feet, a width of 4 feet, and a height of 3 feet. Tina uses unit cubes to pack the shipping crate without gaps or overlaps. Each unit cube has side lengths of 1 foot. Decide if the statement about the shipping crate is true or false.
Choose True or False for each statement.
B.
C.
F.
G.
I.
Find the quotient. Show your work.
1,575 ÷ 25 = ______
63
Find the product. Show your work.
2,307 × 46 = ______
106,122
Find the product:
2,408 × 36 = ______
Show your work.
86,688
8. Carol uses unit cubes to make the figure shown.
What is the volume of Carol’s figure?
D. 36 cubic centimeters
Find the quotient. Show your work.
936 ÷ 12 = ______
78
7. A baseball team practices 480 minutes each week of the season. The season lasts 12 weeks.
Part A
How many minutes does the team practice during the season? Show your work.
Part B
There are 168 players in the baseball league. There are 14 players on each team.
How many teams are there in the baseball league? Show your work.
A) The team practices for 5,760 minutes during the season.
B) There are 12 teams in the league.
Which expressions are equivalent to 326 × 24? Select all that apply.
A. (326 × 20) + (326 × 4)
B. (300 × 24) + (20 × 24) + (6 × 24)
C. (326 × 2) + (326 × 4)
D. (300 × 20) + (20 × 20) + (6 × 20) + (300 × 4) + (20 × 4) + (6 × 4)
E. (326 × 20) + 4
A, B, D
The product is 7,824
5. Write and solve an equation that can be used to find the volume of the solid figure in cubic inches.
The volume is 300 cubic inches;
Possible equation: Volume = (4 X 6 X 8) + (6 X 6 X 3)
Use an area model to find:
600 ÷ 25 =
24
A school purchases 425 pencils for each of its 8 fifth-grade classrooms.
Part A: How many pencils does the school purchase altogether?
Part B: The pencils are divided equally among 10 storage containers. How many pencils go into each container?
Show your work for both parts.
Part A: 3,400 pencils
Part B: 340 pencils per container
6. What is the product? Record your answer on the grid. Then fill in the bubbles.
1,906 X 58
110,548
1. The figure shown is built from unit cubes.
Which statements about the figure are true? Choose all the correct answers.
A. It has 4 layers with 3 unit cubes in each layer.
B. It has 3 layers with 2 unit cubes in each layer.
C. It has 4 layers with 2 unit cubes in each layer.
D. It has a volume of 4 cubic units.
E. It has a volume of 12 cubic units.
F. It has a volume of 7 cubic units.
A.
E.
2. Draw an area model to find 800÷25.
800÷25=32
(Must have area model!)
3. Ian has a storage box in the shape of a rectangular prism. The box has a square base with sides that are 2 feet long. The height of the storage box is 5 feet. What is the volume of Ian’s storage box in cubic feet? Record your answer on the grid. Then fill in the bubbles.
20
4. Which expressions are equivalent to 427 3 35? Choose all the correct answers.
C.
D.
E.