Geometry - math word problems - page 68 of 163
Number of problems found: 3251
- Prism shelf space
The surface of the triangular prism is 157.2 dm². Its shell has an area of 126 dm². What space will it occupy on a shelf placed on a pedestal? - Hexagonal pyramid surface
A regular hexagonal pyramid has a base inscribed in a circle with a radius of 8 cm and a height of 20 cm. Please sketch the picture. Please calculate the surface of a regular hexagonal pyramid. - Lining a Swimming Pool
Length 25m, width 10m, depth 160 cm. How many square meters are needed to line the pool? - Sugar minicubes
1 kg of cubed sugar consists of 840 cubes with an edge of 1.1 cm. Determine the sugar's density and the box's dimensions if the cubes are lined up in seven rows of nine cubes each. How many square meters of cardboard are needed to make 3000 boxes? - 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? - The volume 2
The volume of a cube is 27 cubic meters. Find the height of the cube. - Rainwater Tank Volume
What volume must a cylinder-shaped tank have to collect rainwater from the flat roof of a cube-shaped house if the house is 12m wide and reports 50mm of rainfall? - Rectangle pool
The cube-shaped pool is 50 m long and 16 m wide. They poured 12,000 hl of water into it. Calculate the surface area of the pool that is wetted by water. - Pool water hectoliters
How many hectoliters of water are in a rectangular prism-shaped pool if the top is 6m wide, the bottom is 4m wide, the pool is 2m deep, and the pool is 12m long? - A sphere
A sphere has a radius of 5.5 cm. Determine its volume and surface area. A frustum of the sphere is formed by two parallel planes. One through the diameter of the curved surface of the frustum is to be of the surface area of the sphere. Find the height and - A paint
A paint tin is a cylinder of 12cm and a height of 22 cm. Leonardo, the painter, drops his stirring stick into the tin, and it disappears. Work out the maximum length of the stick. - Cone - side
If the cone's height is 125 mm and its side length is 17 cm, find its surface area and volume. - Quadrilateral pyramid
We have a regular quadrilateral pyramid with a base edge a = 10 cm and a height v = 7 cm. Calculate 1/base area 2/casing area 3/pyramid surface 4/volume of the pyramid - Hexagonal pyramid
Find the area of a shell of the regular hexagonal pyramid if you know that its base edge is 5 cm long and the height of this pyramid is 10 cm. - The trench
Calculate how many cubic meters of soil need to be removed from the excavation in the shape of an isosceles trapezoid. The top width is 3 meters, the lower width is 1.8 m, the excavation depth is 1 m, and the length is 20 m. - Embankment
The railway embankment is 300 m long and has a cross-section of an isosceles trapezoid with bases of 14 m and 8 m. The trapezoidal arms are 5 m long. Calculate the amount of soil in the embankment in m³. - Round flowerbed
I will make a sidewalk up to 0.5 meters wide around a round flowerbed with a diameter of 6 meters. How much gravel is needed if the layer is 5 cm high? - Fire tank
1428 hl of water is filled in a block-shaped fire tank with the edges of the base 12 m and 7 m. Calculate the area of water-wetted areas. - Iron ball
The iron ball weighs 100 kilograms. Calculate the volume, radius, and surface if the iron's density is h = 7.6g/cm³. - Base of house
Calculate the volume of the bases of a square house. If the base depth is 1.2 m, the width is 40 cm, and the outer circumference is 40.7 m.
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