Geometry - math word problems - page 114 of 162
Number of problems found: 3232
- Quadrilateral 5814
Calculate the surface area and volume of a regular quadrilateral truncated pyramid if the base edges are 87 cm and 64 cm and the wall height is 49 cm.
- Determine 5629
The edge of the cube has a length a = 1. Find the length of the edge of a cube that has a double surface.
- A chest made
A chest in the shape of a cuboid made of sheet iron has dimensions of 24 m 0.8 m and 0.5 m. What will be the volume of a chest in the shape of a cube with the same surface area?
- Glass vessel
The cylinder-shaped glass vessel is 1 m high and has a volume of 196.25 l. Calculate the diameter of the container.
- Base diameter
Calculate the volume and surface of a cone whose base diameter is 6 cm and height is 0.9 dm.
- 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.
- Cube edges
The cube has an edge of 4 cm. It has the same volume as a block, the base of which has an area of 32 cm². What height is the block?
- Quadrilateral prism
The base of the quadrilateral prism is a diamond with diagonals of 7 and 9 cm. The height of the prism is 22 cm. What is the area?
- Body diagonal
Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonally.
- Above Earth
To what height must a boy be raised above the earth to see one-fifth of its surface?
- Perpendicular 7001
We throw a ball in an express car traveling at a constant speed of 24 m/s, whose initial speed relative to the vehicle is 7 m/s. What is the initial velocity of the ball relative to the surface of the ground if we throw it a) in the direction of travel b)
- Bricks
Openings in perforated bricks occupy 10%, and brick has dimensions of 30 cm, 15 cm, and 7.5 cm. Calculate a) the weight of a perforated brick if you know that the density of the full brick material is p = 1800 kg/m³ (1.8 kg/dm³) b) the number of perforate
- Block-shaped 13521
A block-shaped aquarium with dimensions of 82 cm, 30 cm, at 7.6 cm is filled with 70% water. How many liters of water is in it? What height does the water reach? From what% of the sidewall area is wetting?
- Equilateral cone
We pour so much water into a container with the shape of an equilateral cone, the base of which has a radius r = 6 cm, that one-third of the volume of the cone is filled. How high will the water reach if we turn the cone upside down?
- Circle - analytics geometry
Write the equation of the circle that passes through the points Q[3.5] R[2.6] and has its center on the line 2x+3y-4=0.
- Barrel 3
The barrel with water weighs 118 kg. When we get off 75% of water, it weighs 35 kg. How many kg has an empty barrel?
- Gutter pipe
How many m² of sheet metal is required to produce a 12 m long and 18 cm wide gutter if a 7% bend is required?
- Gutter
How much metal is needed to produce 60 pieces of gutter pipes with the diameter 17 cm and length of 6 m? The plate bends add 6% of the material.
- Millimeter 24231
Calculate the length of the wall diagonal of a cube with a volume of 7.40 square meters. Express the result to the nearest millimeter.
- Dividing rod
The 3m long rod should be divided into two parts so that one is 16cm longer than the other. Find the lengths of both parts.
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