Area and volume
Area and perimeter of the common shapes, and the volume and surface area of boxes, cylinders, cones, spheres and pyramids.
Question types
This sitting
0 of 0
right so far
Streak
0
right on the first try, in a row
All time on Area and volume
First try
Free problems today
20 of 20 left
Any spelling of the right answer counts: 0.5 or 1/2, pi/2 or π/2, sine or cosine for the same graph.
Your score, on every device
Free account: your score and streak follow you to any device, and you can practice from a photo of your worksheet.
Try a sample flashcard set- Read-only with Canvas
- Free to start
- Never does your work
- Made by a student
About Area and volume
Area is how much flat space a shape covers; perimeter is the distance around it. Most area formulas come from the rectangle: a triangle is half of one, a parallelogram is one pushed sideways, and a trapezoid is one with an average width.
Volume is the space inside a solid, and surface area is the total of its faces. A prism or cylinder is its base area times its height; a cone or pyramid is a third of that; and a sphere has its own pair of formulas.
Keep in mind
- Rectangle: A = lw. Triangle: A = ½bh. Parallelogram: A = bh. Trapezoid: A = ½(b₁ + b₂)h.
- Circle: A = πr², C = 2πr.
- Prism or cylinder: V = (base area) × h. Cone or pyramid: V = ⅓ × (base area) × h.
- Sphere: V = 4/3 πr³, surface area 4πr².
- Surface area of a box: 2(lw + lh + wh). Cylinder: 2πr² + 2πrh.
The Backpack iPhone app is coming soon to the App Store