Square (second power, quadratic) - math word problems - page 55 of 151

Number of problems found: 3005

Round tablecloth area
We cut out the largest possible round tablecloth from a square fabric of 150x150 cm. After setting, it hung around 20 cm everywhere. What is the area of the round tabletop?
House increase percentage
On the pages of the Czech Statistical Office, we can learn that in 1869, Prague and its suburbs had a total of 10,947 houses; in 1900, there were 18,838 houses. What was the annual percentage "increase" of houses in Prague between 1869 and 1900, assuming
Box wrapping cost
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.
Hard cone problem
The cone's surface is 200 cm², and its height is 7 centimeters. Calculate the volume of this cone.
Calculate 4S pyramid
Calculate the surface area and volume of a regular 4-sided pyramid with a base edge of a = 12 cm and a height of v = 5 cm.
Calculate pyramid
Calculate the volume of the pyramid, whose base edge a = 8 cm and the sidewall makes an angle α = 60° with the square base.
The cone - S,V
Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm.
Cone volume surface
A right triangle with perpendiculars a = 3 cm and b = 4 cm rotates around a longer perpendicular. Calculate the volume and surface area of the resulting cone.
Park trail length
The circular park has an area of 31400 m². A trail runs across the center of the park. How long is it?
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.
Calculate
Calculate the height of an isosceles triangle with a base 37.8 mm long and an arm 23.1 mm long.
Triangle right determination
Decide if the triangle is right (sides 5,11,7, cm)
9-sided pyramid
Calculate the surface area and volume of a regular nine-sided pyramid if the radius of the circle inscribed in the base measures ρ = 12 cm and the height of the pyramid is 24 cm
Quadrilateral pyramid
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.
Hydraulic - piston
The large piston of the hydraulic system has a capacity of 0.25 m² and a small 10 cm². How much force do we exert on the small piston to be lifted by 750 N?
Hydraulic blade force
The hydraulic blade has pistons with an area of 10 cm² and 500 cm². How much force acts on the larger piston if we act on the smaller piston with a force of 100 N?
Hydraulic jack
The small piston of the hydraulic jack has a capacity of 40 cm² and a large 120 cm². How heavy will a body lift when a man weighing 70 kg stands on a small piston?
Sphere cube filling
Nine identical spheres are stacked in the cube to fill the cube's volume as much as possible. What part of the volume will the cube fill?
Roof height
Calculate the height of the house's roof, which is an isosceles triangle with a base of 8.4 m and arms of 6.5 m.
On the floor 2
The living room's floor area is 9 7/9 m². A carpet covering an area of 5 5/8 m² is placed on the floor. Find the area of the room that is not covered with carpet.

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