
Volume of Composite Solids
One 5th grade sheet for Measurement and Data: two-system conversions, a 240 cubic inch box, a two-prism composite solid, and rain-gauge line plot questions.
5.MD measurement: converting among different-sized standard measurement units within a given measurement system.

One 5th grade sheet for Measurement and Data: two-system conversions, a 240 cubic inch box, a two-prism composite solid, and rain-gauge line plot questions.

Conversion word problems for 5th grade: Elena's 400 m track laps, 4,500 mL of punch in 200 mL cups, shelf cuts from a 4-yard board, and puppy weights in ounces.

Line plot worksheet in eighths: plot water from 8 beakers, find the 5/8 cup spread, total exactly 3 cups, and redistribute to 3/8 cup each (5.MD.2).

Quick volume exit slip: define the unit cube, count a 3 × 2 × 2 solid to 12 cm³, reason in layers to 24 cubic units, and critique Marcus's loose packing.

Unit conversion drills plus multi-step problems: 4.5 m to cm, 2 1/2 gallons to quarts, an 188-ounce book shipment, and a $105 garden border (5.MD.1).

Volume of rectangular prisms: count layers in cube-built solids, apply V = l × w × h to a 240 cubic inch carton, and compare two bins that tie at 240 cm³.
5.MD.1
“Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.”
5.MD.2
“Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.”
5.MD.3.a
“A cube with side length 1 unit, called a "unit cube," is said to have "one cubic unit" of volume, and can be used to measure volume.”
5.MD.3.b
“A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.”
5.MD.4
“Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units.”
5.MD.5.a
“Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.”
5.MD.5.b
“Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.”
5.MD.5.c
“Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.”
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5.NF fraction operations: adding and subtracting fractions with unlike denominators and multiplying fractions.

5.NBT decimals: reading, writing, and comparing decimals to thousandths using place value understanding.

5.G geometry: graphing points on the coordinate plane to solve real-world and mathematical problems.

5.OA expressions: using parentheses, brackets, or braces in numerical expressions and evaluating expressions containing these symbols.