Pyramid surface calculation

Calculate the surface area of a regular quadrilateral pyramid given:
a= 3.2 cm h= 19 cm
Method:
1) calculation of the height of the side wall
2) area of the base
3) shell areas
4) the surface of a regular quadrilateral pyramid

Your answer:

Help us improve! If you spot a mistake, please let let us know. Thank you!

Tips for related online calculators

See also our right triangle calculator.
See also our trigonometric triangle calculator.

You need to know the following knowledge to solve this word math problem:

algebra

rearrange variables

arithmetic

square root

solid geometry

pyramid
surface area

planimetry

Pythagorean theorem
right triangle
area of a shape
triangle
square

Grade of the word problem

practice for 14 year olds
high school

We encourage you to watch this tutorial video on this math problem: video1 video2

Related math problems and questions:

Quadrilateral pyramid
In a regular quadrilateral pyramid, the side edge is e = 7 dm, and the base's diagonal is 50 cm. Calculate the pyramid shell area.
Pyramid Height and Surface
Calculate the height and surface of a regular quadrilateral pyramid with a base edge a = 8 cm and a wall height w = 10 cm.
Quadrilateral pyramid
The regular quadrilateral pyramid has a surface of 260 cm² and a side wall area of 40 cm². Calculate the length of the base edge and the wall height.
Wall height
Calculate the surface and volume of a regular quadrilateral pyramid if side a = 6 cm and wall height v = 0.8 dm.
Quadrilateral pyramid
Find the height and surface of a regular quadrilateral pyramid with a base edge a = 8 cm and a wall height w = 10 cm. Sketch a picture.
Quadrangular pyramid
Given is a regular quadrilateral pyramid with a square base. The body height is 30 cm, and volume V = 1000 cm³. Calculate its side and its surface area.
Pyramid Height and Volume
Given is a regular quadrilateral pyramid with a square base. Side = 16 cm, S = 736 cm². Calculate h (body height) and body volume V.