Length + volume - math problems
Number of problems found: 214
- Oil crisis
A car runs 16 km using 1 litre of petrol. How much distance will it cover using 2 3/4 litres of petrol?
- The car
The car has a consumption of 5 liters per 100 km. It has 24 liters of gasoline in the tank. How much petrol remained in the tank when it rides for two and a half hours at a speed of 80 km/h?
- Petrol as fuel
A car can travel 480 miles on a full tank of petrol. The tank holds 60 litres. The fuel gauge shows there are 15 litres left in the tank. How many more miles can the car travel before it runs out of petrol?
- A dumpster
A dumpster is shaped like a rectangular prism. It has a width of 8 feet, a height of 5 feet, and a volume of 880 cubic feet. What is the length of the dumpster?
- Water overflow
A rectangular container that has a length of 30 cm, a width of 20 cm, and a height of 24 cm is filled with water to a depth of 15 cm. When an additional 6.5 liters of water are poured into the container, some water overflows. How many liters of water over
- Edges of the cuboid
Find the length of the edges of the cuboid, which has the following dimensions: width is 0.4 m; the height is 5.8 dm and the block can hold 81.2 liters of fluid.
- Right-angled triangle base
Find the volume and surface area of a triangular prism with a right-angled triangle base if the length of the prism base legs are 7.2 cm and 4.7 cm and the height of a prism is 24 cm.
- The solar
The solar heating tank has the shape of a rotating cylinder. When the tank is in a horizontal position, the water in the tank wets 4/5 each tank bases. If we place the tank in a vertical position, the water in the tank will reach up to 1.2 m. Calculate th
- A box 2
A box has a length of 4 1/2 inches, a width of 3 2/3 inches and a height of 8 1/4 inches. What is the volume of the box?
- Axial section
Calculate the volume and surface of a cone whose axial section is an equilateral triangle with side length a = 18cm.
- The tetrahedron
Calculate the surface area and volume of a regular tetrahedron 4.9 cm high, the base edge has a length of 6 cm.
- The square
The square oak board (with density ρ = 700 kg/m3) has a side length of 50 cm and a thickness of 30 mm. 4 holes with a diameter of 40 mm are drilled into the board. What is the weight of the board?
- Base diagonal
In a regular 4-sided pyramid, the side edge forms an angle of 55° with the base's diagonal. The length of the side edge is eight meters. Calculate the surface area and volume of the pyramid.
- Lin has
Lin has a cake pan that has a length of 8/3 inches, a width of 15/4 inches and a height of 3/2 inches. What is the volume of the cake pan?
- Copper wire
What is the weight in kg of copper wire 200 m long with a diameter of 0.6 cm if the density of copper is 8.8 kg?
- Isosceles + prism
Calculate the volume of the perpendicular prism if its height is 17.5 cm and the base is an isosceles triangle with a base length of 5.8 cm and an arm length of 3.7 cm
- Cube containers
Replace the two cube-shaped containers with 0.8 dm and 0.6 dm edges with a single cube-shaped one so that it has the same volume as the two original ones together. What is the length of the edge of this cube?
- Copper winding
Calculate the current flowing through the copper winding at an operating temperature of 70°C. Celsius, if the winding diameter is 1.128 mm and the winding length is 40 m. The winding is connected to 8V.
- Volume per time
How long does fill take for a pump with a volume flow of 200 l per minute fill a cube-shaped tank up to 75% of its height if the length of the cube edge is 4 m?
The block-shaped flowerpot has external dimensions: length 1.25 m, width 10 cm, and height 11 cm. The thickness of the boards from which it is made is 0.8 cm. How many liters of soil is needed to fill it 1 cm below the top edge? What surface do we have to
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