Physical quantity - math word problems - page 257 of 342
Number of problems found: 6824
- Triangular 65304
The triangular plot has dimensions of 90m, 110m, and 130m. The land is drawn on a map with a scale of 1:2000. Find the lengths of its sides on the map in centimeters.
- Deviation 4905
The flower bed has the shape of a regular 4-sided pyramid. The edge of the lower plinth is 10 m, and the upper plinth is 9 m. The deviation of the side wall from the base is 45 degrees. How many plantings should be purchased if 90 are needed to plant 1 sq
- Flywheel
The flywheel turns 450 rev/min (RPM). Determine the magnitude of the normal acceleration of the flywheel point, which is 10 cm from the rotation axis.
- Cube 3
How many times will increase the volume of a cube if we double the length of its edge?
- Shots
500 lead shots with diameter 4 mm are decanted into a ball. What is its diameter?
- Allan
Allan keeps tropical fish. His aquarium is 4 feet long, 1 foot wide, and 2 feet tall. Each fish needs at least 0.5ft³ of water. What is the maximum number of fish he can keep in the aquarium? Please show your solution. Please
- 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
- Prism 4 sides
The prism has a square base with a side length of 3 cm. The diagonal of the sidewall of the prism (BG) is 5 cm. Calculate the surface of this prism in cm square and the volume in liters.
- The well
The well has the shape of a cylinder with a diameter of 2 m. From ground level to water level are 4 meters, and the water depth in the well is 6 m. How many m³ of soil did they dig when digging a well? How many liters of water are in the well?
- Hexagonal pyramid
A regular hexagonal pyramid has dimensions: the length edge of the base a = 1.8 dm, and the height of the pyramid = 2.4 dm. Calculate the surface area and volume of a pyramid.
- Mass
The thickness of a metallic tube is 1cm, and its outer radius is 11cm. Find the mass of such a 1m long tube if the metal density is 7.5g per cubic cm.
- Lid
What is the weight of the concrete cover (lid) to a round shape well with a diameter 1.8 m if the thickness of the cover is 11 cm? 1 m³ of concrete weighs 2190 kg.
- Present
The gift box has a rectangular shape with dimensions of 8×8×3 cm. Miloslav wants to cover it with square paper with sides of 18 cm. How much paper was left to him?
- Divide in ratio
Line segment AB is 12 cm long, divided in a ratio of 5:3. How long are the individual parts?
- The regular
The regular triangular prism has a base in the shape of an isosceles triangle with a base of 86 mm and 6.4 cm arms; the height of the prism is 24 cm. Calculate its volume.
- Quadrilateral 28491
Calculate the weight of a regular quadrilateral pyramid with a base edge of 4 cm in length and a body height of 6 cm if it is made of a material density of 8 g/cm³.
- Hexagonal 13891
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.
- Dimensions 6662
How many square meters of wallpaper do we need to glue the room walls with dimensions of 3 m and 4 m if the room's height is 2.5 m?
- Triangular prism
Calculate the volume and surface area of a triangular prism if it is given: a = 6.8 dm (a = base edge length) ha = 4 dm. (ha = base triangle height length) v = 23 dm (v = body height)
- Cut and cone
Calculate the volume of the rotation cone whose lateral surface is a circular arc with radius 15 cm and central angle 63 degrees.
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