Geometry - math word problems - page 85 of 165

Number of problems found: 3289

Posters on Cone
The stand on which the posters are stuck has the shape of a cone. It is 2.4 m tall. The side of the cone is 2.5 m long. How many 40cmx60 cm posters can be stuck on the stand so they do not overlap?
Perimeter of a triangle
A triangle has the shortest side a=5 cm, the middle side b, and the longest side c=10 cm. A square has a side x=7 cm, which is as long as the side b of the mentioned triangle. A cuboid has a height of 12 cm, a length the same as the longest side of the tr
Room brick calculation
Calculate how many bricks we will need to build a room that should be 1.8 m wide, 2 m long, and 2.4 m high. The dimensions of the brick are 25 cm x 60 cm.
Hexagonal prism
The box of a regular hexagonal prism is 4 cm high, and the lid has sides 20 cm long. How much cardboard is needed to make it? (No part is double)
Pool coating
How many tiles 20 cm × 15 cm need to coat the bottom and sidewalls of the pool with bottom dimensions 75 m × 10 m if the pool can fit up to 1402500 liters of water?
Balls
Three metal balls with volumes V₁=12 cm³, V₂=112 cm³, and V₃=59 cm³ were melted into one ball. Determine its surface area.
Measuring aquarium
We poured 3 liters of water into an empty aquarium measuring 30x20 cm and 25 cm high. What is the level?
Glass cylinder height
A glass in the shape of a cylinder with a base diameter of 6 cm can hold 4 dl of water. Calculate the height of the glass and its surface.
Barrel shell
The barrel-shaped cylinder has a volume of 9.42 hl, and the inner diameter of the bottom is 12 dm. Calculate the area of the barrel shell in m². Solve in general first.
Cone - from volume surface area
The volume of the rotating cone is 1,018.87 dm³, and its height is 120 cm. What is the surface area of the cone?
Cone surface volume
Calculate the cone's surface and volume if its base diameter is 12 cm and the height is 150 mm.
Ice cream cone
There is 0.3 dl of strawberry ice cream in the cone-shaped ice cream cone. Calculate the depth of the cornet if its circumference is 5.6 cm.
Cylindrical tank
9.6 hl of water is poured into a cylindrical tank with a bottom diameter of 1.2 m. What height in centimeters does the water reach?
Triangular prism,
The regular triangular prism, whose edges are identical, has a surface of 2514 cm² (square). Find the volume of this body in cm³ (l).
Hexagonal pyramid
Please calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height of w = 20 cm. Please sketch a picture.
Pyramid Volume Height
Calculate the body height in a regular quadrilateral pyramid with a volume V = 163.3 cm³, whose base edge has a size a = 0.7 dm.
Pyramid Side Edge Length
If the pyramid's height is 4 cm and the base area is 16 cm², include the side edge length of a regular quadrilateral pyramid.
Pyramid measurements
Calculate the surface area and volume of a regular hexagonal pyramid whose base edge is 10 cm long and the side edge is 26 cm long.
Water level
The water tank is cuboid with a square base (the edge of the base is 3.2 m long) and 3 m high. It holds 25,600 liters of water. What is the distance of the water level from the upper base?
Pyramid Surface Area
The pyramid has a rectangular base with dimensions a = 5 cm, b = 6 cm. The side edges are identical; their length is h = 11 cm. Calculate the surface of the pyramid.

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