Geometry - math word problems - page 81 of 165

Number of problems found: 3289

Cuboid cone volume
We used the same amount of paint to paint a cuboid with dimensions of 10 cm, 15 cm, and 3 cm to paint the shell of a cone whose radius is 8 cm. How tall is this cone? Calculate its volume in liters.
The circumference 3
The circumference of a cylindrical water tank is 62.8 m. When it is 4/5 full of water, it holds 125.6 hectoliters. Find the depth of the tank.
The height of prism
The base of a vertical prism is a right triangle with legs 30 cm and 40 cm long. The prism has the same volume as a cube with an edge length of 3 dm. Find the height of the prism in centimetres.
Truncated pyramid
The truncated regular quadrilateral pyramid has a volume of 74 cm³, a height v = 6 cm, and an area of the lower base 15 cm² greater than the upper base's area. Calculate the area of the upper base.
Pool water height
The pool has dimensions of 4.8 m and 65 dm. To what height is water filled in a pool if there is 1,029.6 hl of water in it?
Rotating cone
If the side of the rotating cone is 150 mm long and the circumference of the base is 43.96 cm, find its surface and volume.
Truncated cone 6
Calculate the volume of the truncated cone whose bases consist of an inscribed circle and a circle circumscribed to the opposite sides of the cube with the edge length a=1.
Two hemispheres
In a wooden hemisphere with a radius r = 1, the carpenter created a hemispherical depression with a radius r/2. The bases of both hemispheres lie in the same plane. What is the surface of the created body (including the surface of the depression)?
Cone measurements
Calculate the volume and surface of the rotating cone with the base radius r = 4.6 dm and the height v = 230 mm.
Cone volume
The area of the rotating cone shell is 240 cm², and the area of its base is 160 cm². Calculate the volume of this cone.
Prism
Calculate the height of a prism with a total surface area of 448.88 dm² and a square base with a side of 6.2 dm. What is its volume in hectolitres?
The cylinder base
A cylinder with a base area of 8 dm² has a volume of 120 litres. From the cylinder, which was full of water, 40 litres were removed. At what height from the bottom (to the nearest dm) is the water level?
Cone container
The Rotary cone-shaped container has a volume of 1000 cubic cm and a height of 12 cm. Calculate how much metal we need to make this package.
Stadium
A domed stadium is shaped like a spherical segment with a base radius of 150 m. The dome must contain a volume of 3500000 m³. Determine the dome's height at its center to the nearest tenth of a meter.
Largest possible area
A right-angled triangle was inscribed in a circle with a diameter of 20 cm, whose hypotenuse is the circle's diameter and has the largest possible area. Calculate the area of this triangle.
Quadrilateral in circle
A quadrilateral is inscribed in the circle. Its vertices divide the circle in a ratio of 1:2:3:4. Find the sizes of its interior angles.
Triangle area percentage
A right-angled triangle ABC has sides a = 5 cm, b = 8 cm. The similar triangle A'B'C' is 2.5 times smaller. Calculate the percentage of the area of triangle ABC that is the area of triangle A'B'C'.
Straight lines
Draw two lines c, d so that c || d. On line c, mark points A, and B, from point A starts perpendicular to line c, from point B perpendicular to line c.
The mesh
How many m² of mesh are needed for fencing a rectangular cage without a base with dimensions of 25 m, 18 m, 2.5 m?
Cube surface volume
The ABCDEFGH cube (sketch it) has an edge length of 5 cm. Calculate: a) ABFE wall area b) Area of the ADHE wall c) the surface of the cube d) Cube volume

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