Square Frustum Volume

Find the volume of a square frustum from the bottom edge, top edge, and height. Surface area and slant height are computed too.

Input

Enter the bottom edge, top edge, and height to calculate the volume of a square frustum.

Bottom edge a

Top edge b

Height h

Volume

105

Surface area

138.962759

Lateral area

93.962759

Slant height

5.220153

Enter all lengths in the same unit. Area is in squared units and volume is in cubed units.

The volume of a square frustum is V equals (h/3)(a² plus ab plus b²), where a is the bottom edge, b is the top edge, and h is the height.
The slant height l is l equals the square root of h² plus ((a minus b)/2)², which is the height of each trapezoidal side face.
Lateral area is the sum of four trapezoids, 2(a plus b)l, and the surface area adds the top a² and bottom b² faces.
Enter all lengths in the same unit. Area is in squared units and volume is in cubed units of your input.
When the top edge b is 0, the solid becomes a square pyramid and the formula reduces to (h/3)a².

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