MAST Grade 5 Unit Cubes and Cubic Units. Practice it free.

Students understand volume and show that volume of a right rectangular prism can be found by counting unit cubes and by multiplying edge lengths. This Grade 5 reporting domain maps to 1 practice skill and 8 representative questions from the playable bank.

Grade 5Testlet 91 mapped skills

What the test measures

Unit Cubes and Cubic Units skills

Understand concepts of volume.
Demonstrate volume of a right rectangular prism can be found by counting unit cubes and by multiplying edge lengths.
Standards: 5.MD.3, 5.MD.3.a, 5.MD.3.b, 5.MD.4, 5.MD.5

Standards basis

Montana PK-12 Mathematics Content Standards / Common Core State Standards for Mathematics (CCSS-M)-aligned Montana standards — Montana

How the MAST reports it

Montana’s MAST is a state-specific through-year assessment built by New Meridian and aligned to Montana’s academic content standards, not a Smarter Balanced-style claims/targets framework. The math blueprints organize content into grade-level strands/testlets that map directly to CCSS-M-derived Montana standards.

Blueprint & weighting

The blueprint publishes a through-year design of 12 strands/testlets per grade, with 1 strand per testlet, 2 reporting attributes per strand, and 9–13 items per testlet. It also specifies approximate item-type and DOK distributions, but does not publish percentage weighting by domain in the captured blueprint text.

Official sources

Montana OPI MontCAS
Montana OPI - MasteryGuide Mathematics Assessment Specifications and Blueprints
Montana OPI - Montana MAST Math Testlets

Practice by skill

Topics mapped to this domain

Volume of rectangular prisms

Grade 560 questions

Try it now

8 free questions · 0/0 correct

Practice playeasy

A rectangular box is $4$ m long, $10$ m wide, and $2$ m tall. Find its volume.

Volume $= l \cdot w \cdot h = 4 \cdot 10 \cdot 2 = 80$ cubic m.

Practice playeasy

A rectangular box is $8$ in long, $2$ in wide, and $8$ in tall. Find its volume.

Volume $= l \cdot w \cdot h = 8 \cdot 2 \cdot 8 = 128$ cubic in.

Practice playeasy

Find the volume of a rectangular prism with $l = 9$ , $w = 1$ , $h = 2$ .

Apply $V = l \cdot w \cdot h$ : $9 \cdot 1 \cdot 2 = 18$ .

Practice playeasy

A rectangular box is $7$ m long, $5$ m wide, and $1$ m tall. Find its volume.

Volume $= l \cdot w \cdot h = 7 \cdot 5 \cdot 1 = 35$ cubic m.

Practice playeasy

Find the volume of a rectangular prism with $l = 1$ , $w = 7$ , $h = 10$ .

Apply $V = l \cdot w \cdot h$ : $1 \cdot 7 \cdot 10 = 70$ .

Practice playeasy

Find the volume of a rectangular prism with $l = 4$ , $w = 7$ , $h = 1$ .

Apply $V = l \cdot w \cdot h$ : $4 \cdot 7 \cdot 1 = 28$ .

Practice playeasy

Find the volume of a rectangular prism with $l = 8$ , $w = 1$ , $h = 1$ .

Apply $V = l \cdot w \cdot h$ : $8 \cdot 1 \cdot 1 = 8$ .

Practice playeasy

A rectangular box is $9$ m long, $2$ m wide, and $10$ m tall. Find its volume.

Volume $= l \cdot w \cdot h = 9 \cdot 2 \cdot 10 = 180$ cubic m.

Keep practicing

Turn unit cubes and cubic units into game time.

The MAST placement starts with this test's real coverage map and finds the right difficulty.

Balloon Pop Math game cover

Balloon Pop MathPlay →

Beam Team game cover

Beam TeamPlay →

Blaster Gate game cover

Blaster GatePlay →

Blitz Tanks game cover

Blitz TanksPlay →

Related Common Core standards

Source and test overview

All MAST prep Official test source

Reporting categories

More Grade 5 domains

Place Value and Powers of TenStudents use the base-ten multiplicative relationship and explain patterns when multiplying or dividing by powers of ten.8 QsPractice →Multiply and Divide Whole NumbersStudents multiply whole numbers using the standard algorithm and divide whole numbers using place-value and properties-based strategies.8 QsPractice →Add and Subtract FractionsStudents add and subtract fractions with unlike denominators and apply those skills to real-world problems, including line-plot data.8 QsPractice →Multiply FractionsStudents interpret fraction multiplication in multiple ways and use it to multiply fractions, mixed numbers, and whole numbers.8 QsPractice →Division with FractionsStudents divide unit fractions and whole numbers and solve real-world problems involving fractions and quotients.8 QsPractice →Solve Volume ProblemsStudents find the volume of right rectangular prisms and composite rectilinear figures in mathematical and real-world problems.8 QsPractice →