Basic Volume
What unit of measurement is used to measure volume?
Cubic units.
What are the two main formulas used to find the volume of a rectangular prism?
Volume = length × width × height and V = Base × height
What is a shape called when it is made up of two or more combined rectangular prisms?
A composite figure (or complex solid).
A sandbox is 6 feet long, 4 feet wide, and 1 foot deep. How much sand can it hold if filled to the top?
24 cubic feet.
What is the formula for finding the volume of a rectangular prism using length, width, and height?
Volume= Length x Width x Height
A rectangular prism has a height of 7 units, a width of 3 units, and a total volume of 42 cubic units. What is the length?
2 units (42 ÷ (7 × 3) = 42 ÷ 21 = 2)
To find the volume of an L-shaped composite figure, what must you do to the shapes first?
Split (or decompose) the figure into separate rectangular prisms.
A juice box is 4 cm wide, 5 cm long, and 10 cm high. How much liquid can the box hold?
200 cubic centimeters (or 200 mL).
A rectangular prism has a length of 8 units, a width of 4 units, and a height of 4 units. How many unit cubes are needed to make the figure?
128 Cubic Units
The base area of a rectangular prism is 15 square inches, and the total volume is 60 cubic inches. What is the height?
4 inches (60 ÷ 15)
A solid is made of two blocks, block A has a volume of 40 cubic cm and block B has a volume of 25 cubic cm. What is the total volume?
65 cubic centimeters (40 + 25)
A rectangular pool holds 4,000 cubic feet of water. If the pool is 20 feet long and 20 feet wide, how deep is the pool?
10 feet deep (4,000 ÷ 400).
A cube has a side length of 5 cm. What is the volume of the cube?
125 cubic centimeters (5 × 5 × 5)
A cube has a side length of 7 units. What is its volume?
343 cubic units (7 × 7 × 7)
An L-shaped stage is made of two prisms. Prism 1 is 4ft × 3ft × 2ft. Prism 2 is 5ft × 2ft × 2ft. What is the total volume?
44 cubic feet (24 + 20)
An aquarium is 20 inches long, 10 inches wide, and 12 inches high. If it is only filled halfway with water, what is the volume of the water?
1,200 cubic inches (Full volume is 2,400; half is 1,200).
A rectangular prism has a base area of 36 square feet and a height of 18 feet. What is its volume?
648 cubic feet (36 × 18)
A book is 1 inch high, 8 inches long, and 5 inches wide. What is the volume?
40 cubic inches (1 × 8 × 5)
A step-stool is made of two rectangular boxes. The bottom box is 10in × 6in × 4in. The top box sits on it and is 6in × 6in × 4in. What is the total combined volume?
384 cubic inches (240 + 144)
A shipping crate is 3 meters long, 2 meters wide, and 2 meters tall. How many boxes that measure exactly 1 cubic meter can fit inside the crate?
12 boxes