Volume Basics
What two formulas can you use to find the volume of a rectangular prism?
A = l x w x h AND A = B x h
How many cubic units are in a rectangular prism made from 3 layers of 8 unit cubes?
24 (units cubed or cubic units)
Write 3 ÷ 4 as a fraction.
3/4
Jan walked 1/2 of a street that is 10 meters long. How many meters did Jan walk?
5 meters
A rectangular prism has 4 layers of 6 unit cubes. What is its total volume?
24 (cubic units or units cubed)
A rectangular prism has a length of 5 cm, a width of 3 cm, and a height of 2 cm. What is its volume?
30 (cm cubed or cubic cm)
A figure is made of two non-overlapping rectangular prisms. One has a volume of 20 cm cubed and the other has a volume of 35 cm cubed. What is the total volume?
55 (cubic cm or cm cubed)
Five sandwiches are shared equally among 2 students. How much sandwich does each student receive?
5/2 sandwiches OR 2 1/2 sandwiches
A ribbon is 12 feet long. Sarah cuts off 1/3 of the ribbon. How many feet did she cut off?
4 feet
Write 7 divided by 3 as an improper fraction and a mixed number.
7/3 AND 2 1/3
A rectangular prism has a base area of 24 square units and a height of 4 units. What is its volume?
96 (cubic units or units cubed)
A rectangular prism has a length of 8 cm, a width of 5 cm, and a height of 4 cm. What is its volume?
160 (cm cubed or cubic cm)
Write 9 ÷ 4 as an improper fraction and a mixed number.
9/4 AND 2 1/4
Four friends share 3 pizzas equally. What fraction of a pizza does each friend receive?
3/4 pizzas
Which unit measures volume: square units or cubic units? Why?
Cubic units because we are counting the total amount of unit cubes in a 3-D space
A rectangular prism has a volume of 120 cm³. Its length is 6 cm and its width is 4 cm. What is its height?
5 cm
A compound figure is made from two rectangular prisms that do not overlap. Prism A measures 4 × 3 × 5 cm. Prism B measures 6 × 2 × 3 cm. Find the total volume.
96 (cm cubed or cubic cm)
Seven pizzas are shared equally among 3 families. How much pizza does each family receive?
7/3 pizzas or 2 1/3 pizzas
A class has 24 students. 3/4 of the students brought lunch from home. How many students brought lunch?
18 students
A rectangular prism has a volume of 96 cm cubed. Its base area is 16 cm squared. What is its height?
6 cm
A prism has a volume of 180 cubic units and a height of 9 units. Its rectangular base has a width of 4 units. Find the length of the base.
5 units
Two rectangular prisms have the same volume of 144 cm cubed. Prism A measures 6 × 4 × 6 cm. Prism B has a length of 9 cm and a width of 4 cm. What is Prism B's height?
4 cm
Eleven cups of juice are shared equally among 4 friends. How much does each friend receive? Write your answer as a mixed number and explain how you know.
2 3/4 cups of juice. 11 divided by 4 is 11/4 which simplifies to 2 3/4
Six friends share 4 cakes equally. Each cake is cut into 3 equal pieces. What fraction of a whole cake does each friend receive?
Bonus: How many pieces of cake does each friend receive?
4/6 OR 2/3 of a whole cake
Bonus: 2 pieces of cake
A figure is composed of two non-overlapping rectangular prisms. Prism A measures 5 × 4 × 3 cm, and Prism B measures 3 × 2 × 4 cm. What is the total volume?
84 (cm cubed or cubic cm)