Volume - math word problems - page 120 of 126
Number of problems found: 2504
- MPG
324 miles a week fills up twice a week. Each fill is 38 gallons. What is the gas mileage of the car?
- Angle between vectors
Find the angle between the given vectors to the nearest tenth degree. u = (-1, 24) and v = (-8, -21)
- Gasholder
The gasholder has a spherical shape with a diameter of 26 m. How many cubic meters (m³) can hold in?
- Funnel
The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 8.1 liters of water.
- Truncated cone
Calculate the height of the rotating truncated cone with volume V = 1471 cm³ and a base radii r1 = 6.1 cm and r2 = 7.9 cm.
- Carpenter
A carpenter cut off a small cuboid block with half the edge length from a wooden block. How many percent of wood did he cut off?
- Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism?
- Ice cream in cone
The ice cream cone with a diameter of 5.4 cm is 1.2 dl of ice cream. Calculate the depth of the cone.
- Cuboid diagonal
Calculate the volume and surface area of the cuboid ABCDEFGH, which sides a, b, and c have dimensions in the ratio of 10:8:9. If you know that the diagonal wall AC is 75 cm, and the angle between AC and space diagonal AG is 30 degrees.
- Prism
The prism's base is a rhombus with a side 17 cm and a height 5 cm long. The height of the prism is 88% longer than the side length of the rhombus. Calculate the volume of the prism.
- Scale
The student drew the cylinder in scale 7:1. How many times is the volume of the cylinder smaller in reality?
- Pool coating
How many tiles 25 cm × 15 cm need to coat the bottom and sidewalls of the pool with bottom dimensions 30 m × 5 m if the pool can fit up to 271500 liters of water?
- Air
The room is 35.6 m long, 19.6 dm wide, and 591 cm high. How many people can simultaneously be in this room if, for hygiene reasons, is calculated 5000 dm³ of air per person?
- Swimming pool
The pool shape of a cuboid is 237 m³, full of water. Determine the dimensions of its bottom if the water depth is 199 cm, and one bottom dimension is 4.8 m greater than the second.
- Center of the cube
The Center of the cube has a distance 40 cm from each vertex. Calculate the volume V and surface area S of the cube.
- Balls
Three metal balls with volumes V1=12 cm3, V2=112 cm3, and V3=59 cm³ were melted into one ball. Determine its surface area.
- The pot
The pot is in 1/3 filled with water. The bottom of the pot has an area of 329 cm². How many centimeters rise in water level in the pot after adding 1.2 liters of water?
- Water tank
The water tank-shaped cuboid has a width of 2.3 m and a length twice as large. If water flows into 19 liters of water per second during 52 minutes, how high will it reach?
- Car range
Calculate the maximum range of cars, if you can spend 5 euros, the diesel price is 1.6 Eur/l, and car consumption is 5.4 l/100 km.
- Prism
Calculate the volume of the rhombic prism. The prism base is a rhombus whose one diagonal is 47 cm, and the edge of the base is 27 cm. The edge length and height of the base of the prism are 4:3.
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