Public learning track
Volume of Prisms, Unit Cubes, and Capacity Conversions
6th Grade · Math · Open Global Math
8 lessons
Goal
Calculate the volume of cubes and right rectangular prisms with fractional and decimal edges using packing and formulas, and convert between cubic volume and liquid capacity.
Featured Diagrams
Volume with Fractional Edge Lengths by Packing Cubes
8 lessons
0 of 8 done
- 1Volume with Fractional Edge Lengths by Packing CubesUp nextStart
- 2Volume of Rectangular Prisms with Fractional Edge LengthsPremiumNot started yet
- 3Volume of Rectangular Prisms with Decimal Edge LengthsNot started yet
- 4Applying the General Prism Volume Formula (V = Bh)Not started yet
- 5Finding Unknown Edge Lengths from Given RelationshipsNot started yet
- 6Converting Between Cubic Centimeters, Cubic Decimeters, and LitersNot started yet
- 7Practical Problems With Prism EdgesNot started yet
- 8Comparing Surface Area to Volume Ratios in Rectangular SolidsNot started yet
Standards Covered
- OGM.7.GEO.3Open Global Math Standards 2026™ · Math · Level 7 / Grade 6 (Age 11) · Grade 6Calculate the volume of right rectangular prisms and cubes with fractional and decimal edge lengths using unit fraction packing and formulas (V = lwh and V = Bh); convert between cubic units and capacity measures (1 L = 1 dm³ = 1000 cm³).
- OGM.7.GEO.4Open Global Math Standards 2026™ · Math · Level 7 / Grade 6 (Age 11) · Grade 6Represent three-dimensional solids (right prisms, cylinders, pyramids, cones) using two-dimensional nets; calculate total and lateral surface areas of solids composed of rectangular and triangular faces.
Curriculum Framework
6th Grade · Math · Open Global Math
1
10 lessons
Angle Relationships and Geometric Reasoning
Identify, classify, and calculate unknown angle measures using complementary, supplementary, vertical, adjacent, and intersecting line relationships with algebraic equations.
2
11 lessons
Triangles, Polygons, and Angle Theorems
Investigate, classify, and calculate interior and exterior angle sums for triangles, special quadrilaterals, and regular and irregular n-gons.
3
8 lessons
Geometric Constructions and Triangle Inequalities
Construct triangles and geometric figures with compass and straightedge, apply the triangle inequality theorem, and construct angle and segment bisectors.
4
10 lessons
Area and Perimeter of Two-Dimensional Polygons
Derive and apply formulas for perimeter and area of triangles, parallelograms, rhombuses, and trapezoids with consistent metric and customary units.
5
7 lessons
Decomposing Figures and Composite Area
Calculate the area of complex, composite, and irregular 2D polygons by additive composition and subtractive decomposition.
6
11 lessons
Circles: Circumference, Area, and Circular Rings
Identify parts of a circle, derive the constant ratio pi (π = C/d), and calculate circumference, circle area, sector angles, and annulus ring areas.
7
10 lessons
Cartesian Coordinate Plane: Distances and Polygons
Plot points in all four quadrants, calculate horizontal and vertical segment lengths using absolute value, and construct polygons to determine coordinate perimeter and area.
8
8 lessons
Rigid Transformations on the Coordinate Plane
Perform, describe, and analyze translations, reflections, and rotations of 2D shapes on coordinate grids using algebraic mapping rules.
9
7 lessons
Dilations, Scale Factors, and Similarity
Perform and analyze dilations centered at the origin or arbitrary points, calculate scale factors, and explore properties of similar geometric figures.
10
7 lessons
Symmetry Transformations and Tessellations
Analyze line and rotational symmetry in 2D shapes, determine orders of rotation, and investigate regular, semi-regular, and artistic tessellations.
11
7 lessons
Three-Dimensional Solids, Cross-Sections, and Views
Identify 3D solid structures, interpret and draw 2D orthographic projections (top, front, side), and determine shapes formed by 2D cross-sections.
12
7 lessons
Scale Drawings, Maps, and Bearings
Construct and interpret scale drawings, architectural floor plans, map routes, three-figure bearings, and cardinal directional bearings.
13
9 lessons
Two-Dimensional Nets and Surface Area of Solids
Unfold 3D solids into 2D nets and calculate total and lateral surface areas of rectangular prisms, triangular prisms, pyramids, and cylinders.
14
8 lessons
Volume of Prisms, Unit Cubes, and Capacity Conversions
Calculate the volume of cubes and right rectangular prisms with fractional and decimal edges using packing and formulas, and convert between cubic volume and liquid capacity.