Volume & Surface Area Quiz


 

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This Volume & Surface Area Quiz is a great way to put your skills to the test in a fun environment. By practicing, you’ll start to work out the answers efficiently.
 




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Volume & Surface Area Quiz
Welcome to Volume & Surface Area Quiz. The game is designed to test how you can match a 3D solid to its volume and surface area formula. The 3D solids are: cube, rectangular prism, cone, cylinder, sphere, square pyramid. Scroll down the page for a more detailed explanation.


 


 

How to play the Volume & Surface Area Game

  1. Identify the Target: Look at the center panel labeled “Target Property”. It will display a shape and a property (e.g., Volume of a Cylinder or Surface Area of a Sphere).

  2. Select the Formula: Below the target, you will see four formula options. Click the one you believe is correct.
    Correct Selection: The button turns green, a high-pitched chime plays, and your “Accuracy Score” increases.
    Incorrect Selection: The button turns red, a low-pitched buzz plays, and the correct answer is highlighted in green so you can learn from the mistake.

  3. Advance: Once an answer is selected, the “Next Entry →” button will appear at the bottom. Click it to move to the next shape.

  4. Track Progress:
    Dots: The small dots at the top show how many formulas are left in the deck.
    Accuracy Score: The top-right counter tracks your “First-Try” success rate (Correct / Total Attempted).

Scoring & Completion
The quiz contains 12 unique formulas. Once you have cycled through all of them, the system will display your Final Accuracy Percentage.

Tip:
If you miss an answer, the game deliberately stops and shows you the right one. Take a second to memorize it before clicking “Next” to ensure you get it right during the next protocol restart.

The Formulas are:

Solid Property Formula
Cube Volume s3
Cube Surface Area 6s2
Rectangular Prism Volume lwh
Rectangular Prism Surface Area 2lw + 2lh + 2wh
Cylinder Volume π r2 h
Cylinder Surface Area 2π r2 + 2π rh
Cone Volume \(\frac{1}{3} \pi r^2 h\)
Cone Surface Area π r2 + π rl
Square Pyramid Volume \(\frac{1}{3} s^2 h\)
Square Pyramid Surface Area s2 + 2sl
Sphere Volume \(\frac{4}{3} \pi r^3\)
Sphere Surface Area 4π r2

s: Side length (or edge)
l: Length
w: Width
h: Height
r: Radius
l: Slant height (used in pyramids and cones)

Surface Area and Volume Review (Geometry)


 

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