Length + square - practice problems - page 13 of 37
Number of problems found: 729
- Determine 36601
The plumbers have to cut sheet metal measuring 220 cm and 308 cm into squares of equal size so that the squares are as large as possible and the sheet metal is used without residue. How many such squares will they cut? Determine the side of this square. - Wrapping 36303
How much will we pay for wrapping 5 boxes in the shape of a cube with a side length of 80 cm if we count on a margin of 35% for folds? The price for 1 square meter of paper is €2.55. You can only buy whole square meters. - The ABCD
The ABCD trapezoid has a base length of a = 120mm, c = 86mm and an area of S = 2575 mm². Calculate the height of the trapezoid. - Quadrilateral 36061
In a regular quadrilateral pyramid, the length of the base edge is a = 8 cm, and the length of the side edge is h = 17 cm. Calculate the surface of the pyramid.
- Cuboid edges
The lengths of the cuboid edges are in the ratio 2: 3: 4. Find their length if you know that the surface of the cuboid is 468 m². - Rhombus and diagonals
The lengths of the diamond diagonals are e = 48cm f = 20cm. Calculate the length of its sides. - Square gardens
The gardening colony with dimensions of 180 m and 300 m is to be completely divided into equally large square areas with the largest possible area. Calculate how many such square areas can be obtained and determine the square's side length. - Dimensions 34051
The wall in the bathroom has dimensions of 27 dm and 200cm if we wanted to cover this entire wall with tiles in the shape of a square with a side length of 10 cm. How many tiles can fit in the height, and how many in the length of the wall in the bathroom - The projectile
The projectile was fired horizontally from a height of h = 25 meters above the ground at a speed of v0 = 250 m/s. Find the range and flight time of the projectile.
- Perpendicular projection
Determine the distance of a point B[1, -3] from the perpendicular projection of a point A[3, -2] on a straight line 2 x + y + 1 = 0. - Ladder
How long is a ladder that touches a wall 4 meters high, and its lower part is 3 meters away from the wall? - Quadrilateral 33143
The roof of the prefabricated holiday cottage has the shape of a regular quadrilateral pyramid with a length of the base edge of 8 meters and a height of 9 m. How many square meters of cardboard are needed to cover the roof? - Insulate house
The property owner wants to insulate his house. The house has these dimensions of 12, and 12 m is 15 m high. The windows have six dimensions, 170 and 150 cm. Entrance doors are 250 and 170 cm in size. How many square meters of polystyrene does he need? - Smallest 32811
Which diamond with a side length of 7.5 cm has: a / largest area, b / smallest area
- The pyramid
The pyramid with a square base is 50 m high, and the sidewall height is 80 m. Find the edge of the base of the pyramid. - Cube-shaped 32441
We painted a closed cube-shaped oil tank with an edge length of 1.5 meters twice with a protective coating. How many kilograms of paint did we use if 1 kg of paint is enough for 10 square meters? How many liters of oil are in the tank if it is filled to t - Calculate 32321
The shell of the cone is 62.8 cm². Calculate the side length and height of this cone if the diameter of the base is 8 cm. - Calculate 32133
The cube has an area of 486 dm². Calculate the length of its side, its volume, the length of the body, and wall diagonals. - Five circles
On the line segment CD = 6 there are five circles with one radius at regular intervals. Find the lengths of the lines AD, AF, AG, BD, and CE.
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