Area - math word problems - page 10 of 161
Number of problems found: 3206
- Path 11
A path 1.5 metres wide is to be built around the perimeter of a square plot of land with a side of 28 metres. By how much will the total occupied area increase? - Spherical sector
Calculate the volume and surface area of a spherical sector if the spherical cap that forms part of the sector has a base radius r₁ = 6 cm and a height h = 2 cm. - Calculate the cylinder
Calculate the volume of a cylinder, given: S = 144π cm² height = 6 cm - Triangle ABP
An isosceles trapezoid ABCD is given. The length of side AB is 10 cm, the length of CD is 7 cm, and the height drawn to side AB is 4 cm. Point P is the foot of the altitude from A to side AD. Calculate the area of triangle ABP. - Hexagon, hexa S, V
What is the surface area and volume of a regular hexagonal prism with a base edge of 12 cm and a height equal to the diameter of the circle circumscribed about the base? - 216 surface area and volume
Calculate the surface area and volume of a regular tetrahedral pyramid with base edge a = 6 cm and height of 12 cm. - Painting a column
How many kg of paint are needed to paint a column in the shape of a regular triangular prism with a base edge of 2.5 m and a base height of 2 m? The column is 10 m high and 1 kg of paint covers 25 m². - Measuring cylinder
A measuring cylinder has a base radius of 35 mm and a height of 500 mm. Calculate the wetted surface area if the liquid level reaches a height of 35 cm. - Calculate 423 Calculate the volume and surface area of a cylinder with a height of 40 dm and a base diameter of 3 m.
- Rotational motion of a cylinder
Calculate the kinetic energy of a cylindrical body with radius r = 0.08 m and mass m = 1.5 kg at time t = 5 s, given that the body rotates about an axis through the centre of the cylinder with a constant angular acceleration ε = 5 rad/s², starting from re - Perimeter 37
The perimeter of a square is 18. What is the length of its side, and what is its area? - Painters 5
Six painters were supposed to paint 6,000 m² within the planned time. Two painters fell ill, so each of the four remaining had to paint 50 m² more per day than the original planned daily output. Calculate the original planned daily output per painter. - In the kitchen 2
In a kitchen measuring 3 m × 2 m, we want to lay square tiles with sides of 20 cm on the floor, placed right next to each other. If there are exactly 40 tiles in one package, how many packages do we need to buy to cover the entire kitchen? - 4B - truncated pyramid
Calculate the volume of a regular truncated quadrilateral pyramid if the base edges are 10 cm and 4 cm and the slant height of the lateral face is 5 cm. - From a full
From a full cylindrical glass with a diameter of 8 cm, 1 decilitre of water was poured out. By how many centimetres did the water level in the glass drop? - Legs and ratio
The legs of a right triangle are in the ratio a:b = 6:8. The hypotenuse has a length of 61 cm. Calculate the perimeter and area of this triangle. - Boxes
Cuboid-shaped boxes without a lid are to be painted on all sides, both inside and outside. The base dimensions are 60 cm × 30 cm and the height is 12 cm. How many cans of paint are needed to paint 10 such boxes if one can covers 4 m²? - RRL Basics
What is the length of the smaller base and the height of an isosceles trapezoid if a = 9 dm, the leg is 6 dm, and angle ACB = 90°? - Parallelogram 44
Parallelogram ABCD has an area of 32 cm², |AB| = 8 cm, |BC| = 5 cm. Calculate the sizes of its interior angles. - Storm 4
Approximately 4,000 trees grow on 1 hectare of forest. During the storm of 20 November 2004, 95% of the trees on 100 km² of the High Tatras forest cover were destroyed. How many trees were destroyed?
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