Physical quantity - math word problems - page 260 of 343
Number of problems found: 6854
- Two vases
Michaela has two vases in her collection. The first vase has the shape of a cone with a base diameter of d = 20 cm; the second vase has the shape of a truncated cone with a lower base of d1 = 25 cm and a diameter of the upper base d2 = 15 cm. Which vase c
- Consumption 6068
In two months, the Novák family consumed 624 kWh of electricity during the day and 3018 kWh at night. How much kWh of electricity will the Novák family consume now in two months at the daily rate, and how much at the night rate if they decide to reduce co
- Pharaoh
Kleomurapi is a pharaoh. Yesterday, his pyramid builders complained to him that their backs hurt from lifting stones. So the pharaoh had a ramp built that was 6 meters long, 2 meters wide, and 1.5 meters high to make it easier for the builders to reach th
- Dog
The man went with a dog on a long walk 17 km from the house. The man is walking at a speed of 4.9 km/h. A dog constantly runs between the house and the man at 12.6 km/h. How many kilometers will the dog run when they reach its destination?
- Cubes 81088
How many cubes with an edge of 1 cm fit into a cube with an edge of 1 m?
- Cubes 81080
How many cubes with an edge of 1 mm fit into a cube with an edge of 1 cm?
- Perimeter of the pile
The pile of sand dumped from the car is shaped like a cone, with a height of 1.4 m and a perimeter of 7.98 m. If the sand density is 1,750 kg/m3, how many m³ of sand is there for the buyer?
- Spruce wood
Calculate the weight of an edge made of spruce wood 6m long when the cross-section of the edge is 146cm square and if the density of the wood is 0.55 grams/cm cubic.
- Cuboid - volume, diagonals
The length of the one base edge of cuboid a is 3 cm. The body diagonal is ut=13 cm, and the diagonal of the cuboid's base is u1=5 cm. What is the volume of the cuboid?
- Concrete pillar
How many cubic meters of concrete are needed to construct the pillar shape of a regular tetrahedral prism when a = 60 cm and the height of the pillar is 2 meters?
- Corresponding 7100
A honeycomb is made up of cells that resemble a regular hexagonal prism, with a base edge length of 3 mm and a corresponding height of 2.6 mm. The height of the prism is 12 mm. a) How many liters of honey are there in the whole comb if the comb consists o
- Calculating 63344
Calculate the volume of the cone formed by rotating an isosceles triangle about the height of the base. The triangle has a side length of 15 cm and a height to the base of 12 cm. When calculating, use the value pi = 3.14 and round the result to one decima
- Water depth
If the pool is 25 meters long and 10 meters wide and the water depth is 1.2 meters everywhere, how many square meters of the inside of the pool wet the water?
- Surrounded 8283
The cube has an edge length of 5 cm. This cube surrounds a rotating cylinder. Find the surface area of the shell and the volume of the cylinder.
- Triangular 6345
Calculate the volume and surface of a triangular prism whose base is a right triangle with sides a = 3m, b = Va = 4m, and c = 5m. The height of the prism is v = 5.5 m.
- Cylinder-shaped 4411
A cylinder-shaped hole with a diameter of 12 cm is drilled into a block of height 50 cm with a square base with an edge length of 20 cm. The axis of this opening passes through the center of the base of the cuboid. Calculate the volume and surface area of
- Space diagonal
The space diagonal of a cube is 129.91 mm. Find the lateral area, surface area, and volume of the cube.
- Construct 8
Construct an analytical geometry problem where it is asked to find the vertices of a triangle ABC: The vertices of this triangle are points A (1,7), B (-5,1) C (5, -11). The said problem should be used the concepts of distance from a point to a line, rati
- Shadow
A meter pole perpendicular to the ground throws a shadow of 40 cm long. The house throws a shadow 6 meters long. What is the height of the house?
- Two waves
Two waves are out of phase by 26°. If the period of the waves is 6 seconds, what is the time difference between the waves? Give your answer in seconds to 2 decimal places.
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