# Pythagorean theorem + area of the shape - practice problems

#### Number of problems found: 235

- Find the

Find the volume and surface of a prism with a height of 120 mm, the base of which is an right isosceles triangle with a leg length of 5 cm. - Quadrilateral pyramid

We have a regular quadrilateral pyramid with a base edge a = 10 cm and a height v = 7 cm. Calculate 1/base content 2/casing content 3/pyramid surface 4/volume of the pyramid - Quadrilateral pyramid

A regular quadrilateral pyramid has a volume of 24 dm³ and a base edge a = 4 dm. Calculate: a/height of the pyramid b/sidewall height c/surface of the pyramid - Hexagonal pyramid

Find the area of a shell of the regular hexagonal pyramid if you know that its base edge is 5 cm long and the height of this pyramid is 10 cm. - Quadrilateral pyramid

Calculate the surface of a quadrilateral pyramid, which has a rectangular base with dimensions a = 8 cm, b = 6 cm and height H = 10 cm. - Hexa prism

Determine the volume of hex prism with edge base 4 cm. The body height is 28 cm. - Quadrilateral pyramid

Find the height and surface of a regular quadrilateral pyramid with a base edge a = 8cm and a wall height w = 10cm. Sketch a picture. - Pyramid height

Find the volume of a regular triangular pyramid with edge length a = 12cm and pyramid height h = 20cm. - 3s prism

It is given a regular perpendicular triangular prism with a height of 19.0 cm and a base edge of 7.1 cm. Calculate the volume of the prism. - A prism

A prism with an altitude of 15cm has a base in the form of a regular octagon inscribed in a square 10cmx10cm. Find the volume of the prism. - Pilot

How high is the airplane's pilot to see 0.001 of Earth's surface? - Pyramid

Cuboid ABCDEFGH has dimensions AB 3 cm, BC 4 cm, CG 5 cm. Calculate the volume and surface area of a triangular pyramid ADEC. - Tetrahedral pyramid

Calculate the surface S and the volume V of a regular tetrahedral pyramid with the base side a = 5 m and a body height of 14 m. - Cube cut

The cube ABCDA'B'C'D ' has an edge of 12cm. Calculate the area of diagonal cut B DD'B '. - Spherical cap

What is the surface area of a spherical cap, the base diameter 23 m, height 3 m.

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Pythagorean theorem is the base for the right triangle calculator. Pythagorean theorem - math word problems. Examples of area of plane shapes.