Right Rectangular Pyramid Calculator: A, V, A_l, A_b

Your details

Length of the rectangular base along one side.
cm
Width of the rectangular base along the other side.
cm
Perpendicular height from the apex straight down to the centre of the base.
cm
Volume (V)
192cm³

Space enclosed by the pyramid

Total surface area (A)222.8492cm²
Lateral surface area (A_l)174.8492cm²
Base area (A_b)48cm²
Slant height onto side a (e_a)12.6491cm
Slant height onto side b (e_b)12.3693cm
Lateral edge (d)13cm
Base diagonal10cm

Volume 192.0000 cm³, total surface area 222.8492 cm²

  • Volume is 192.0000 cm³, which is exactly one third of the equivalent rectangular prism (576.0000 cm³).
  • The four lateral faces account for 78.5% of the total surface area (174.8492 of 222.8492 cm²).
  • Because the base is rectangular rather than square, the two pairs of triangular faces have different slant heights: e_a = 12.6491 cm and e_b = 12.3693 cm.
  • Base area is 48.0000 cm². To compare pyramids, surface-area-to-volume ratio is 1.1607 per cm.

Next stepNeed the net (unfolded flat pattern)? Lay out one rectangle of a x b and four triangles with the slant heights above.

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