Free SAT Area & Volume Mock Test

Got confused by boxes and cylinders? Master area & volume questions fast! Take a quick SAT practice test on Area & Volume to level up your skills, tackle tougher problems, and discover your strengths.

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Try out these Area & Volume practice questions

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Area and Volume

Three spherical metal balls having radii 1 centimeter (cm), 6cm, and 8cm are molded into one larger sphere. What is the radius of the larger sphere?

A 9 cm B 11 cm C 13 cm D 15 cm

The volume of a cylinder is equal to the volume of a cone. If the height of the cone is 27 times the height of the cylinder and the radius of the cone is 3 inches, what is the radius of the cylinder in inches?

A 31 B 9 C 27 D 81

The volume of a square prism is 768 square inches. If the base of the prism is a square of side length 8 inches, what is the height of the prism in inches?

A 6 B 12 C 18 D 24

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How to solve questions from Area & Volume?

Identify the Formula

Start by identifying the appropriate area or volume formula based on the shape and geometric properties.

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Substitute Known Values

Replace the variables in the formula with the given measurements, ensuring accuracy in this step for correct calculations.

Solve for Unknown

When given area/volume and asked for a missing dimension, rearrange the formula to isolate the unknown variable.

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Why Area & Volume matters for SAT?

EdisonOS conducted a detailed Bluebook analysis to help tutors design SAT tests mirroring official Bluebook test challenges. Findings show Geometry & Trigonometry occupies the smallest portion of SAT Math, averaging 5 questions. Area & Volume shares 1-2 question making this skill good-to-have in your study plan

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I Need Detailed Analysis

Avoid These Common Mistakes In Area & Volume!

Formula Mix-ups

Students often forget common formulas for area, perimeter, volume, and rely too heavily on provided formulas, slowing them down

Unit Conversion Errors

Students frequently misinterpret or ignore units, especially in area or volume questions, resulting in incorrect answers

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Calculation Mistakes

Students get sloppy with multi-step calculations and labeling, making arithmetic errors or mixing up values between different shapes

Diagram Misreading

Students rush through diagrams without carefully analyzing labels, notations, and relationships between shapes, missing critical details

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