Fraction word problems - page 173 of 184
Number of problems found: 3679
- Similar frustums
The upper and lower radii of a frustum of a right circular cone are 8 cm and 32 cm, respectively. If the altitude of the frustum is 10 cm, how far from the bottom base must a cutting plane be made to form two similar frustums?
- Joanne 2
Joanne bought five fish. To have enough space, fish must have at least 30 liters of water. You know that the length is 5 dm and the width is 3 dm. Calculate the minimum height of the aquarium.
- Barrel-shaped 30341
The barrel-shaped barrel has a base diameter of 6 dm and a height of 1.2 m. How many 5-liter buckets will we fill it to 3/4 of its height?
- Contain 19203
The water tank has the shape of a block. The inner length is 5.2 meters, the width is 2.4 meters, and the depth is 1.5 meters. If the tank is filled to 3/5 of its depth, how many liters of water does it contain?
- Volume 7434
The pool, 10.5 m wide, 50 m long, and 3 m deep, will be filled in 3 days. On the first day, 2/5 of the water volume flowed into it, and 1/3 of the rest on the second day. How many liters of water flowed into the pool on the third day?
- Faces diagonals
Find the cuboid volume if the cuboid's diagonals are x, y, and z (wall diagonals or three faces). Solve for x=1, y=1.1, z=1
- Peter 11
Peter is answering to ten word math problems. It takes him 1 ⅓ hour to answer five and 1 ½ hours to answer 5. On average, how many minutes does it take him to answer a problem?
- Diameter 81760
Winding drum length 180mm, initial diameter 60mm. Using a 6mm rope with a length of 50m, what will be the diameter of the wound drum with the rope?
- Hectoliters 48941
The pool has dimensions: a length of 50 m, a width of 15 m, and a depth of 2 m. It is filled with water to 1/4 of its depth. How many hectoliters of water are in the pool? How many hectoliters of water can fit in a filled pool?
- Running
Joanne ran 8 1/2, Kyleigh 1 2/3, and John 6 3/4 miles in one day. How many miles did the girls run in 3 days?
- Cone A2V
The cone's surface in the plane is a circular arc with a central angle of 126° and an area of 415 cm². Calculate the volume of a cone.
- The barrel
The barrel is 135 cm high. If we fill it to a height of 60 cm, it weighs 163 kg. If we fill it to a height of 80 cm, it weighs 213 kg. How many kilograms weigh a full and how many empty barrels?
- Konecara 6203
The trip to the top of Konecara and back lasted 5 hours and 17 minutes. We rested at the peaks for 32 minutes. The way back took 51 minutes less than the way there. How long did the trip to the top take?
- A bag 4
A bag contains 18 balls that differ only in color, 11 are blue, and seven are red. If two balls are picked, one after the other without replacement, find the probability that both are (i) Blue (ii) Of the same color (iii) Of different colors
- Cube cut
The edge of the CC' guides the ABCDA'B'C'D'cube, a plane that divides the cube into two perpendicular four-sided and triangular prisms, whose volumes are 3:2. Determine which ratio the edge AB divides by this plane.
- Triangular pyramid
Calculate the volume and surface area of a regular triangular pyramid with a height equal to the base edge, which is 10 cm long.
- Pyramid roof
1/3 of the area of the roof-shaped regular tetrahedral pyramid with base edge 10 m and height of 4 m is already covered with roofing. How many square meters still need to be covered?
- Sphere radius
We reduce the radius of the sphere by 1/3 of the original radius. How much percent does the volume and surface of the sphere change?
- Scale of the map
The distance between the two cities is actually 30 km, and the map is 6 cm. What is the scale of the map?
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