FlashKeepers

Math · K-12

3D Shapes: Volume and Surface Area

Volume and surface area formulas for prisms, cylinders, cones, and spheres, distinct from the 2D focus of the basic geometry facts deck.

36 cards · basic cards · AI-written, checked twice. Edit anything.

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What is a rectangular prism?
A three-dimensional shape with 6 rectangular faces
What is a cylinder?
A three-dimensional shape with 2 circular bases and a curved lateral surface
What is a cone?
A three-dimensional shape with 1 circular base that tapers to a point
What is a sphere?
A three-dimensional shape where every point on the surface is equidistant from the center
Volume formula for a rectangular prism (length l, width w, height h)
V = l * w * h
Volume formula for a cylinder (radius r, height h)
V = pi * r^2 * h
Volume formula for a cone (radius r, height h)
V = (1/3) * pi * r^2 * h
Volume formula for a sphere (radius r)
V = (4/3) * pi * r^3
Surface area formula for a rectangular prism (length l, width w, height h)
SA = 2(lw + lh + wh)
Surface area formula for a cylinder (radius r, height h)
SA = 2pi * r^2 + 2pi * r * h
Surface area formula for a cone (radius r, slant height s)
SA = pi * r^2 + pi * r * s
Surface area formula for a sphere (radius r)
SA = 4pi * r^2
Lateral surface area formula for a cylinder (radius r, height h)
LA = 2pi * r * h
Lateral surface area formula for a cone (radius r, slant height s)
LA = pi * r * s
What is lateral surface area?
The area of the curved or non-base surfaces of a three-dimensional shape

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