Area and Volume: SAT Practice Questions

110 official Area and Volume questions (Geometry and Trigonometry) from the SAT Suite Question Bank. Pick any question from the list, or start with Question 1. Every question shows the answer and a full explanation, with step-by-step Desmos solutions available for most questions. It is free, and no account is needed.

Start with Question 1

What does Area and Volume test on the SAT?

Area and Volume questions combine geometric formulas with scale, similarity, and composite figures. The main challenge is identifying the correct dimensions and whether the requested measure is one-, two-, or three-dimensional.

Common question types

Find area, surface area, or volume
Analyze similar figures and scale factors
Break a composite figure into standard shapes

Common traps

Using diameter where a formula requires radius
Applying a linear scale factor directly to area or volume
Including hidden or shared faces in surface area

Difficulty distribution

Start with the easier questions, then work toward the highest score bands.

Easy: 36
Medium: 38
Hard: 36
Extreme: 0

Start here

FoundationQuestion 9Easy SAT question IntermediateQuestion 97Medium SAT question ChallengeQuestion 108Hard SAT question

How do I improve at Area and Volume?

1Draw and label the figure with units.
2Write the relevant formula before substituting.
3Check whether scale factors must be squared or cubed.

Desmos method

Use the calculator for precise formula evaluation and to solve an equation with an unknown dimension. Keep the geometric setup on paper, then enter the complete expression with parentheses.

All 110 official questions

In the same order as the list on the left. Each one opens in practice mode.