Length - math word problems - page 165 of 167
Number of problems found: 3334
- Sphere slices
Calculate the volume and surface area of a sphere if two parallel circular cross-sections have radii r₁ = 32 cm and r₂ = 47 cm, and the distance between them is v = 21 cm. - Heron backlaw
Calculate the length of the unknown side of a triangle with sides 39 and 38 and area 438.6. - Equilateral triangle
Calculate the side length of an equilateral triangle whose area is 886 mm². - Diamond
Find the side length of a rhombus whose area is S = 194 cm² and one diagonal is u₂ = 44 cm. - Cone and cube
About what percentage has cone with base radius r larger volume than a same high cube with square base with edge length r? - The cap
A jester's hat is in the shape of a cone. Calculate how much paper is needed to make a hat 53 cm tall for a head circumference of 45 cm. - Copper sheet
The copper plate has a length of 2.2 m, width 92 cm, and weighs 5.6 kg. What is the plate thickness if 1 m³ weighs 8732 kg? - Cylinder
Calculate the dimensions of a cylindrical container with a volume of 10 litres if its height equals its base diameter. - Cable car
A cable car rises at an angle of 44° and connects the upper and lower stations with an altitude difference of 1089 m. How long is the continuous (endless) tow rope? - Car range
Kia has an average diesel consumption of 5.2 liters per 100 kilometers. What is the range of the car for 138 euros if fuel costs 1.3 EUR/liter, if the tank has a volume of 64 liters? - Circle
A circle k has diameter |MN| = 85. Point J lies on circle k. If |NJ| = 12, calculate the length of segment JM. - Median
In triangle NOP, the centroid is 95 cm from vertex P. Calculate the length of the median from vertex P. - Pipe
Steel pipe has a length of 1.7 meters. About how many decimetres is 1/3 less than 8/9 of this steel pipe? - Black building
Jozef built a building with a rectangular footprint of 3.9 m × 6.7 m. Calculate by what percentage the building exceeds the legal limit of 25 m² for a small building. A building constructed without planning permission is called an illegal building. Also c - Right triangle
The legs of a right triangle are in the ratio a:b = 2:8. The hypotenuse has a length of 87 cm. Calculate the perimeter and area of the triangle. - Copper plate
Copperplate length 9 m and width 56 cm weigh 48.38 kg. What is the plate thickness if 1 m³ of copper weighs about 8700 kg? - Golden ratio
Divide the line of length 871 cm into two sections so that the ratio of shorter to greater is the same as the ratio of the greater section to the whole length of the line. - Magnification of the square
If the side of a square is increased, the area increases by 57%. By what percentage was the side increased? - The cyclist
A cyclist travelled from a village to a town. The first half of the journey was at 24 km/h. The second half, which was mostly downhill, was at 38 km/h. The entire journey took 94 minutes. Calculate the distance from the village to the town. - Circle and angle
What is the arc length of a circle with radius r = 432 dm corresponding to a central angle of 0.53 rad?
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