Physical quantity - math word problems - page 264 of 344
Number of problems found: 6862
- Quadrilateral prism
Calculate the surface of a quadrilateral prism according to the input: Area of the diamond base S1 = 2.8 m2, length of the base edge a = 14 dm, the prism height 1,500 mm.
- 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.
- Aquarium
There are 15 liters of water in a block-shaped aquarium with internal dimensions of the bottom of 25 cm and 30 cm. Find the area of water-wetted surfaces. Express the result in dm square.
- The tank
The tank has 1320 liters of water and is shaped like a prism. Its base is a rectangle with sides a = 0.6 m and b = 1.5 m. How high is the water level in the tank?
- The cast
The cast in the body of a regular quadrilateral pyramid with a base edge 60 cm long and 5 cm high is made of a material with a density of 7.8 g/cm cubic. Calculate its weight.
- Pool in litres
The pool is 3.5 meters wide, 6 meters long, and 1.60 meters high. Calculate the pool's volume in liters.
- 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.
- Nitrogen gas
In a cylinder with a piston, there is nitrogen N2 with a volume of 5 liters, a temperature of 25 degrees Celsius, and a pressure of 200 kPa. We very slowly compress the gas in the cylinder to half its volume while its temperature does not change. Determin
- 10-centimeter-high 7638
A block with a square base is inserted into a 10-centimeter-high cylinder in such a way that its base is inscribed in the base of the cylinder. The edge of the base of the block measures 4 cm. Both bodies have the same height. Calculate the difference bet
- Imagine
Imagine that a unit of air at a temperature of 25°C rises a mountain range 3,000 meters high on the windward side and descends to 1,200 meters on the leeward side, assuming that the air will remain dry. What will its temperature be when it crosses the top
- Actually 83215
The square-shaped plot actually covers an area of 81 ares. Maybe draw it in the village plan on a scale of 1:200. What will be the length of the side on the plan?
- Measuring 6159
We have a cube measuring side a = 540mm. However, it is made of 25 mm thick sheet metal. How much do I need to sheet the cubes inside and the bottom? The lid is not required.
- Truck bed
Calculate how many trucks can transport grain from the combine hopper, which is a quadrilateral with a rhombus base with sides of 13dm and 2.8m and a height of 200 cm to the longest side. The hopper is 200 cm long. The truck bed is a cuboid with sides of
- Similarity coefficient
Given triangle ABC with sides a = 12 cm b = 9 cm c = 7 cm and triangle DEF with sides d = 8.4 cm, e = 6.3 cm f = 4.9 cm Find out if triangles ABC and DEF are similar if so, write the similarity coefficient and according to which sentence they are similar
- Dimensions and area
Determine the actual dimensions of the kitchen and its area if its dimensions on the plan with a scale of 1:200 are 3.5 cm and 4 cm.
- Square garden
The square garden has an area of 36 square meters. What area will its image have in the 1:60 scale?
- Prism-shaped 78774
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?
- Cylindrical solid
Find the surface area of the cylindrical solid whose radius is 7.7 cm and height is 12 cm.
- Triangular 28451
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?
- Cylindrical 27733
The cylindrical silo has a diameter of 4 m and a height of 7 m. For how many square meters is it necessary to buy paint to paint against corrosion (we paint the silo only from the outside)?
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