PARCC Geometry Geometric Measurement and Dimension Practice

What the test measures

Geometric Measurement and Dimension skills

Explain volume formulas and use them to solve problems

Standards basis

Common Core State Standards for Mathematics (CCSS-M) / PARCC Model Content Frameworks — national

How the PARCC reports it

PARCC was a multistate assessment system built around the Common Core-era PARCC mathematics model content frameworks rather than a separate proprietary standards set. Its math structure is organized by grade/course and aligned to CCSS-M content categories and model content frameworks.

Blueprint & weighting

No single published PARCC weighting table was located in the accessible sources used here.

Official sources

PARCC Assessment
Common Core State Standards Initiative

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 $1$ 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?

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

Practice playeasy

Find the volume of a cone with radius $3$ and height $5$ . Use $\pi = 3$ .

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

Practice playmedium

A cylindrical rain barrel has an inside radius of $3$ feet. After a storm, the water level rises $4$ inches. What is the volume of the added water, in cubic feet?

Convert $4$ inches to $\dfrac{1}{3}$ foot. $V = \pi r^{2} h = \pi (3)^{2}\left(\dfrac{1}{3}\right) = 3\pi$ cubic feet.

Practice playeasy

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

$V = \pi r^{2} h = 3 \times 9 \times 2 = 54$ .

Practice playhard

A concrete drainage pipe is a hollow right circular cylinder. The outer radius is $r_1 = 6$ meters, the inner radius is $r_2 = 4$ meters, and the pipe is $5$ meters long. What is the volume of concrete in the pipe wall, in cubic meters?