Area and Volume: SAT Practice Questions
106 official Area and Volume questions (Geometry and Trigonometry) from the SAT Suite Question Bank, in the same question-ID order used in signed-in practice. 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.
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
- 33
- Medium
- 37
- Hard
- 36
- Extreme
- 0
Featured Area and Volume questions
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.
Related Geometry and Trigonometry skills
All 106 official questions
- Question 1 02b02213Easy
- Question 2 03c6994fMedium
- Question 3 0837c3b9Easy
- Question 4 08b7a3f5Medium
- Question 5 096c7ef5Medium
- Question 6 099526fcHard
- Question 7 0d43db90Easy
- Question 8 0e40dfb0Easy
- Question 9 124bc42bEasy
- Question 10 151eda3cMedium
- Question 11 165c30c4Easy
- Question 12 167aff9eHard
- Question 13 17049054Easy
- Question 14 179edb12Hard
- Question 15 1b687ae3Medium
- Question 16 1be8b6b2Hard
- Question 17 1f0b582eMedium
- Question 18 1fe41c6bHard
- Question 19 25cc5327Medium
- Question 20 29e9b28cEasy
- Question 21 2b41a4c4Easy
- Question 22 306264abHard
- Question 23 30aa51b7Hard
- Question 24 310c87feHard
- Question 25 3453aafcEasy
- Question 26 37dde49fMedium
- Question 27 38517165Medium
- Question 28 3b931fb0Medium
- Question 29 42155bacMedium
- Question 30 4420e500Easy
- Question 31 459dd6c5Hard
- Question 32 468613c0Medium
- Question 33 4757123bHard
- Question 34 4b7bb316Medium
- Question 35 4efea6a3Easy
- Question 36 502d9690Hard
- Question 37 50774285Easy
- Question 38 5252e606Easy
- Question 39 575f1e12Easy
- Question 40 59cb654cEasy
- Question 41 5afbdc8eMedium
- Question 42 5b2b8866Hard
- Question 43 62ec6574Hard
- Question 44 6708546eHard
- Question 45 689abc2aEasy
- Question 46 6ae1360dMedium
- Question 47 73e1b793Hard
- Question 48 76670c80Easy
- Question 49 899c6042Hard
- Question 50 8c1aa743Hard
- Question 51 93de3f84Hard
- Question 52 93f48423Easy
- Question 53 96467feaMedium
- Question 54 983412eaHard
- Question 55 98c12e38Medium
- Question 56 9966235eHard
- Question 57 9c0a0ecaMedium
- Question 58 9d2e7037Easy
- Question 59 9f934297Hard
- Question 60 9fdc4eaaHard
- Question 61 9fec9d49Hard
- Question 62 a07ed090Hard
- Question 63 a2659088Medium
- Question 64 a2e76b60Medium
- Question 65 a490003aEasy
- Question 66 a4ed5285Medium
- Question 67 ae33e0a1Medium
- Question 68 aef4fd8aMedium
- Question 69 b0dc920dHard
- Question 70 b2528e6bHard
- Question 71 b4767befEasy
- Question 72 ba8ca563Hard
- Question 73 babd7461Easy
- Question 74 bb560789Easy
- Question 75 c0586eb5Medium
- Question 76 c4e5e23cMedium
- Question 77 c88183f7Easy
- Question 78 c8ab85adEasy
- Question 79 c984f1a5Medium
- Question 80 cab8f907Easy
- Question 81 cecbdebaMedium
- Question 82 cf53cb56Medium
- Question 83 d0b6d927Easy
- Question 84 d2047497Easy
- Question 85 d621cffbMedium
- Question 86 d683a9ccEasy
- Question 87 dc71597bHard
- Question 88 deff8a2fHard
- Question 89 e0874bc2Medium
- Question 90 e336a1d2Medium
- Question 91 e4b4e9eaMedium
- Question 92 e5c57163Hard
- Question 93 e6c557f9Hard
- Question 94 e86f0651Medium
- Question 95 e9c5bfb2Medium
- Question 96 eb70d2d0Hard
- Question 97 ec5d4823Medium
- Question 98 f243c383Hard
- Question 99 f329442cHard
- Question 100 f39f88b7Easy
- Question 101 f3f06c3aEasy
- Question 102 f60bb551Easy
- Question 103 f67e4efcMedium
- Question 104 f6ca90ccHard
- Question 105 f7e626b2Hard
- Question 106 fc5ef8d3Medium
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