Math

Square Pyramid Calculator

Find a square pyramid's volume, surface area and slant height.

Calculated Output

Volume 48

Surface area 96

Slant height 5

Formula: V = ⅓b²h; slant = √(h² + (b/2)²)

Step-by-Step Breakdown

1. Values used:

2. Base edge = 6

3. Height = 4

5. Volume = 48

6. Surface area = 96

7. Slant height = 5

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The math behind it

Volume = ⅓·base²·height. Slant height = √(h² + (b/2)²). Surface = base area + four triangle faces (2·b·slant).

Base 6, height 4 → volume 48, slant 5, surface 96.

Slant height vs height?

Height is vertical to the apex; slant height runs up the middle of a triangular face.