MO MAP Geometry Geometric Measurement and Dimension. Practice it free.

Derives and applies formulas for area, volume, and surface area in geometric contexts. This Geometry reporting domain maps to 3 practice skills and 8 representative questions from the playable bank.

Geometry3 mapped skills
What the test measures

Geometric Measurement and Dimension skills

  1. Explain volume formulas and use them to solve problems

  2. Visualize relationships between two-dimensional and three-dimensional objects

  3. Apply geometric concepts in modeling situations

Standards basis

Missouri Learning Standards (Mathematics K-5 and Mathematics 6-12; revised standards approved April 19, 2016) — Missouri

How the MO MAP reports it

Missouri’s MAP math is built from the Missouri Learning Standards and the state’s item specifications, not from a separate national testing framework. The standards are closely CCSS-aligned in structure, with grade-level and course-level domains used as the native reporting/coverage structure.

Blueprint & weighting

Missouri publishes grade-level and EOC blueprints, but the accessible official pages in this pass did not expose the domain-by-domain percentage tables. The assessment page states that item specifications organize expectations by domains/strands and that blueprints are available for grade-level and EOC assessments.

Practice by skill

Topics mapped to this domain

Density from area and volume

Grade 910 questions

Surface area and volume

Grade 1015 questions

Volume word problems (ACT)

Grade 910 questions
Try it now

8 free questions · 0/0 correct

Practice playmedium

A room heater uses energy at a density of 2525 BTUs per cubic foot. For a room with volume 120120 cubic feet, how many BTUs does the heater use?

Set up the proportion 25 BTUs1 cubic foot=x BTUs120 cubic feet.\dfrac{25\text{ BTUs}}{1\text{ cubic foot}} = \dfrac{x\text{ BTUs}}{120\text{ cubic feet}}\textsf{.} Cross-multiplying gives x=25×120=3,000 BTUs.x = 25 \times 120 = 3{,}000\text{ BTUs}\textsf{.}

Practice playeasy

Find the volume of a cylinder with radius 11 and height 1010. Use π=3\pi = 3.

V=πr2h=3×1×10=30V = \pi r^2 h = 3 \times 1 \times 10 = 30.

Practice playmedium

An ice machine makes spherical ice balls with a diameter of 66 centimeters. What is the volume of one ice ball, in cubic centimeters?

The radius is half the diameter: r=3r = 3 cm. Then V=43πr3=43π(3)3=36πV = \dfrac{4}{3}\pi r^{3} = \dfrac{4}{3}\pi (3)^{3} = 36\pi cubic centimeters.

Practice playmedium

Lakeview has a population of 37,80037{,}800 people and an area of 8484 square miles. What is the population density, in people per square mile?

Set up the proportion x people1 square mile=37,800 people84 square miles.\dfrac{x\text{ people}}{1\text{ square mile}} = \dfrac{37{,}800\text{ people}}{84\text{ square miles}}\textsf{.} Cross-multiplying gives 84x=37,800,84x = 37{,}800\textsf{,} so x=450 people per mile2.x = 450\text{ people per mile}^{2}\textsf{.}

Practice playeasy

Find the volume of a sphere with radius 33. Use π=3\pi = 3.

V=43πr3=43×3×27=108V = \dfrac{4}{3} \pi r^{3} = \dfrac{4}{3} \times 3 \times 27 = 108.

Practice playmedium

A traffic cone is shaped like a right circular cone with a base diameter of 1010 inches and a height of 1212 inches. What is the volume of the cone, in cubic inches?

The radius is 55 inches. V=13πr2h=13π(5)2(12)=100πV = \dfrac{1}{3}\pi r^{2} h = \dfrac{1}{3}\pi (5)^{2}(12) = 100\pi cubic inches.

Practice playmedium

A metal sample has a mass of 540540 kilograms and a density of 1212 kilograms per cubic meter. What is the volume of the sample, in cubic meters?

Set up the proportion 12 kilograms1 cubic meter=540 kilogramsx cubic meters.\dfrac{12\text{ kilograms}}{1\text{ cubic meter}} = \dfrac{540\text{ kilograms}}{x\text{ cubic meters}}\textsf{.} Cross-multiplying gives 12x=540,12x = 540\textsf{,} so x=45 m3.x = 45\text{ m}^{3}\textsf{.}

Practice playeasy

Find the volume of a cone with radius 33 and height 55. Use π=3\pi = 3.

V=13πr2h=13×3×9×5=45V = \dfrac{1}{3}\pi r^2 h = \dfrac{1}{3} \times 3 \times 9 \times 5 = 45.

Keep practicing

Turn geometric measurement and dimension into game time.

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

Batting Cage game coverBatting CagePlay →Blossom Leap game coverBlossom LeapPlay →Buzzer Beater game coverBuzzer BeaterPlay →Minecart Junction game coverMinecart JunctionPlay →
Related Common Core standards
7.G.B.6HSG.GMD.A.3
The same skills on other tests
ATLASDC CAPEMCAPNJSLA
Source and test overview
All MO MAP prepOfficial test source
Reporting categories

More Geometry domains

CongruenceProves and uses congruence properties and transformational geometry.8 QsPractice →Similarity, Right Triangles, and TrigonometryUses similarity relationships, the Pythagorean theorem, and trigonometric ratios.8 QsPractice →CirclesAnalyzes arc length, angle measures, and relationships among chords, tangents, and secants.8 QsPractice →Expressing Geometric Properties with EquationsUses coordinates and equations to prove geometric relationships and compute measures.8 QsPractice →Modeling with GeometryUses geometry to model and solve real-world and applied problems.8 QsPractice →