MCAP Geometry Geometric Measurement and Dimension Practice

What the test measures

Geometric Measurement and Dimension skills

G.GMD.A Explain volume formulas and use them to solve problems.
G.GMD.B Visualize relationships between two-dimensional and three-dimensional objects.

Standards basis

Maryland College and Career Ready Standards for Mathematics (MCCRSM) — Maryland

How the MCAP reports it

MCAP is Maryland's statewide successor to PARCC, built on the Maryland College and Career Ready Standards for Mathematics (which mirror CCSS-M) — it is not a Smarter Balanced administration despite the claims-style family resemblance. Each grade/course High Level Blueprint (September 2022) organizes the assessment into three subclaims: Content (23-24 one-point machine-scored items, listed per domain/conceptual category as MCCRSM cluster headings), Reasoning (6 items), and Modeling (6 items), the latter two defined by per-grade evidence statements and including constructed-response items. Cluster headings are transcribed verbatim from the blueprints, including their minor typographical deviations from the parallel CCSS-M headings; two evident misprints are normalized (a duplicated sentence fragment on 4.OA.C, and the domain codes printed as G.P.E / T.TF for G.GPE / F.TF). Since March 2025, grade 6-7 students enrolled in a high-school mathematics course may take the corresponding MCAP course assessment instead of the grade-level test.

Blueprint & weighting

Each High Level Blueprint (September 2022) publishes per-domain operational item counts. Content Subclaim (1-point machine-scored items): Grade 3 — OA 7, NBT 2, NF 7, Measurement 5, Geometry 2 (23 items); Grade 4 — OA 4, NBT 5, NF 10, Measurement 3, Geometry 1 (23); Grade 5 — OA 2, NBT 6, NF 9, Measurement 4, Geometry 2 (23); Grade 6 — RP 3, NS 8, EE 8, Geometry 2, SP 2 (23); Grade 7 — RP 8, NS 4, EE 5, Geometry 3, SP 3 (23); Grade 8 — NS 2, EE 10, Functions 5, Geometry 4, SP 2 (23); Algebra I — Number and Quantity 1, Algebra 12, Functions 9, Statistics 2 (24); Geometry — G.CO 7, G.SRT 8, G.C 3, G.GPE 3, G.GMD 1, G.MG 1 (23); Algebra II — Number and Quantity 3, Algebra 8, Functions 11, Statistics 1 (23). Every assessment adds 6 Reasoning Subclaim and 6 Modeling Subclaim operational items — four 1-point machine-scored each, plus two constructed-response items (two 3-point in grades 3-4; one 3-point and one 4-point in grades 5-8; two 4-point in Algebra I, Geometry, and Algebra II) — so a form carries 35 operational items (36 for Algebra I).

Official sources

MSDE — MCAP Mathematics (current program page: grades 3-8, Algebra I, Geometry, Algebra II)
MSDE — MCAP Overview / High Level Blueprints summary
MSDE — MCAP Grade 3 Mathematics High Level Blueprint (September 2022)

Practice by skill

Topics mapped to this domain

Surface area and volume

Grade 1015 questions

Volume word problems (ACT)

Grade 910 questions

Try it now

8 free questions · 0/0 correct

Practice playeasy

Find the volume of a cylinder with radius $2$ and height $4$ . Use $\pi = 3$ .

$V = \pi r^2 h = 3 \times 4 \times 4 = 48$ .

Practice playeasy

A culvert pipe is a right circular cylinder with an inside diameter of $12$ inches and a length of $20$ inches. What is the volume of the pipe's interior, in cubic inches?

The radius is $6$ inches. $V = \pi r^{2} h = \pi (6)^{2}(20) = 720\pi$ cubic inches.

Practice playeasy

Find the surface area of a sphere with radius $1$ . Use $\pi = 3$ .

$SA = 4 \pi r^{2} = 4 \times 3 \times 1 = 12$ .

Practice playeasy

A community pool is a rectangular prism $24$ feet long, $18$ feet wide, and $6$ feet deep when filled to the planned level. How many cubic feet of water does the pool hold at that level?

$V = \ell w h = 24 \times 18 \times 6 = 2{,}592$ cubic feet.

Practice playeasy

Find the volume of a cylinder with radius $1$ and height $10$ . Use $\pi = 3$ .

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

Practice playmedium

An ice machine makes spherical ice balls with a diameter of $6$ centimeters. What is the volume of one ice ball, in cubic centimeters?

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

Practice playeasy

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

$V = \dfrac{4}{3} \pi r^{3} = \dfrac{4}{3} \times 3 \times 27 = 108$ .

Practice playmedium

A traffic cone is shaped like a right circular cone with a base diameter of $10$ inches and a height of $12$ inches. What is the volume of the cone, in cubic inches?