# Square (second power, quadratic) + Pythagorean theorem - math problems

#### Number of problems found: 256

• Turning machine
What is the smallest diameter of the cylinder so that a square prism with a side of 40 cm can be turned from it?
• Isosceles triangle
Calculate the height of the isosceles triangle ABC with the base AB, AB = c = 10 cm and the arms a = b = 13 cm long.
• School model
The beech school model of a regular quadrilateral pyramid has a base 20 cm long and 24 cm high. Calculate a) the surface of the pyramid in square decimeters, b) the mass of the pyramid in kilograms if the density of the beech is ρ = 0,8 g/cm ^ 3
• How to
How to find a total surface of a rectangular pyramid if each face is to be 8 dm high and the base is 10 dm by 6 dm.
• Regular square prism
The volume of a regular square prism is 192 cm3. The size of its base edge and the body height is 1: 3. Calculate the surface of the prism.
• Calculate
Calculate the height to the base of the isosceles triangle ABC if the length of the base is c = 24cm and the arms have a length b = 13cm.
The quadrilateral ABCD is composed of two right triangles ABD and BCD. For side lengths: |AD| = 3cm, | BC | = 12cm, | BD | = 5cm. How many square centimeters (area) does the quadrilateral ABCD have? The angles DAB and DBC are right.
• Woman's day
We can easily make a heart for mothers for Woman's day by drawing two semicircles to the two upper sides of the square standing on their top. What is the radius of the circle circumscribed by this heart when the length of the side of the square is 1?
• Side edges
The regular 4-sided pyramid has a body height of 2 dm, and the opposite side edges form an angle of 70°. Calculate the surface area and volume of the pyramid.
• Diagonals of a prism
The base of the square prism is a rectangle with dimensions of 3 dm and 4 dm. The height of the prism is 1 m. Find out the angle between the body diagonal with the diagonal of the base.
• ABC isosceles
ABC isosceles rights triangle the length or each leg is 1 unit what is the length of the hypotenuse AB in the exact form
• Outside point
The square ABCD and the point E lying outside the given square are given. What is the area of the square when the distance | AE | = 2, | DE | = 5 a | BE | = 4?
• Ratio in trapezium
The height v and the base a, c in the trapezoid ABCD are in the ratio 1: 6: 3, its content S = 324 square cm. Peak angle B = 35 degrees. Determine the perimeter of the trapezoid
• Regular 4-sided pyramid
Find the area (surface area) of a regular 4-sided pyramid if its height is 20 m and the wall height is 23 m.
• The storm
The top of the 5 m high mast deviated by 1 m from the original vertical axis after the storm. What is the peak now? Round to 2 decimal places.
• Calculate
Calculate the height of an isosceles triangle with base 37.8 mm long and an arm 23.1 mm long.
• Total area
Calculate the total area (surface and bases) of a prism whose base is a rhombus which diagonals of 12cm and 18cm and prism height are 10 cm.
• Rhombus and diagonals
The lengths of the diamond diagonals are e = 48cm, f = 20cm. Calculate the length of its sides.