Cubes & Layers
Warm-up! What do we call a cube with side lengths of 1 unit?
What is a unit cube?
Warm-up! What formula uses length, width, and height?
What is V = l × w × h?
Warm-up! Which familiar solids can you break a composed figure into?
What are rectangular prisms?
Warm-up! Which unit makes the most sense for the volume of a classroom?
What are cubic feet?
Warm-up! A box is 5 in long, 2 in wide, and 3 in high. What is its volume?
What is 30 cubic inches?
Level up! A prism has 3 layers with 8 unit cubes in each layer. What is its volume?
What is 24 cubic units?
Level up! Find the volume of a prism measuring 5 units by 4 units by 3 units.
What is 60 cubic units?
Level up! Two rectangular prisms have volumes of 20 and 15 cubic units. The total volume.
What is 35 cubic units?
Level up! Which unit makes the most sense for the volume of a shoebox?
What are cubic inches or cubic centimeters?
Level up! A storage bin is 7 feet long, 3 feet wide, and 2 feet high. What is its volume?
What is 42 cubic feet?
Think it through! Find the volume of a prism with 4 layers of 12 cubes each.
What is 48 cubic units.
Think it through! Find the volume of a prism measuring 6 ft × 3 ft × 4 ft.
What is 72 cubic feet?
Think it through! Two prisms have volumes of 36 and 24 cubic units. What is the total volume?
What is 60 cubic units?
Think it through! Which unit makes the most sense for a small juice box?
What are cubic inches or cubic centimeters?
Think it through! A tank holds 90 cubic feet and has a 15-square-foot base. What is its height?
What is 6 feet?
Math detective! A prism contains 60 unit cubes arranged in 5 equal layers. How many cubes are in each layer?
What is 12 cubes?
Math detective! A prism has volume 96 cubic units, length 8 units, and width 3 units. What is its height?
What is 4 units?
Math detective! A figure is made from prisms measuring 4 x 3 x 2 and 3 x 2 x 5. What is its total volume?
What is 54 cubic units?
Math detective! Which unit works better for a large classroom aquarium: cubic centimeters or cubic feet?
What are cubic feet?
Math detective! A prism has a base area of 18 square units and volume 126 cubic units. What is its height?
What is 7 units?
Boss challenge! How many layers of 12 cubes are in a 3 × 4 × 5 prism?
What is 5 layers?
Boss challenge! A prism has volume 120 cubic inches and a base area of 24 square inches. How tall is it?
What is 5 inches?
Boss challenge! A full 8 × 5 × 4 prism is missing a 2 × 3 × 4 piece. What volume is left?
What is 136 cubic units?
Boss challenge! Tell why cubic centimeters are not practical for a moving truck.
What is: the unit is too small, creates a large number for no reason?
Boss challenge! A figure has prisms measuring 4×3×2 and 2×2×5. What is its total volume?
What is 44 cubic units?