Math Drills
Volume of Rectangular Prisms and Cubes
D-1Word Problems
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What this worksheet covers
- Topic
- Volume
- Worksheet
- Volume of Rectangular Prisms and Cubes
Work opens by reading off a drawing how many 1 cm³ cubes a solid comes to, moves to Calculation, which puts the Formula of length times width times height to work, and goes on to Capacity (Inside Measurements), where the thickness of the board is given. Whether the edges are whole numbers or decimals, the Word Problems are set up the same way.
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A container whose board thickness is given has two boards across and two down, so twice the thickness comes off the outside length, while the height loses only the one board at the bottom. Items creep in where the thickness is taken off once everywhere, so counting how far each of the three numbers in the expression has dropped below the outside length brings the faulty subtraction into the open.
What is handled from here is not the area of a face but the size of a space. In Converting Units of Volume the figure found stays as it is and only the unit attached to the answer is exchanged.
- Whole-Number Dimensions (Word Problems)3 questions
- Decimal Dimensions (Word Problems)3 questions
Questions & answers
Problems and answers on this worksheet
These are the problems in “Volume”, shown with their answers.
(1)There is a warehouse in the shape of a rectangular prism that is 8m deep, 6m wide, and 4m in height. What is the volume of this warehouse in how many m³? Answer □
Answer: 192m³
(2)There is a treasure box in the shape of a rectangular prism that is 12cm deep, 8cm wide, and 7cm in height. What is the volume of this treasure box in how many cm³? Answer □
Answer: 672cm³
(3)There is a pencil case in the shape of a rectangular prism that is 11cm deep, 7cm wide, and 4cm in height. What is the volume of this pencil case in how many cm³? Answer □
Answer: 308cm³
(4)There is a room in the shape of a rectangular prism that is 4.5m long, 3.2m wide, and 2.5m in height. What is the volume of this room in how many m³? Answer □
Answer: 36m³
(5)There is a cardboard box in the shape of a rectangular prism that is 0.4m long, 0.5m wide, and 0.3m in height. What is the volume of this cardboard box in how many m³? Answer □
Answer: 0.06m³
(6)There is a fish tank in the shape of a rectangular prism that is 2.4m long, 1.2m wide, and 0.5m in height. What is the volume of this fish tank in how many m³? Answer □
Answer: 1.44m³
What to do next
More worksheets in this unit
Volume of Rectangular Prisms and CubesVolume of Rectangular Prisms and Cubes Finding the Volume
Volume of Rectangular Prisms and CubesVolume of Rectangular Prisms and Cubes Finding the Capacity
Converting Units of VolumeConverting Units of Volume Conversion
Volume and Weight of WaterVolume and Weight of Water Conversion
Volume of Composite FiguresVolume of Composite Figures Finding the Volume (L-Shape and More)
Volume of Composite FiguresVolume of Composite Figures Finding the Volume (Staircase Shape and More)
