Basic operations and concepts - math word problems - page 297 of 332
Number of problems found: 6633
- Cuboid Dimensions Ratio Sum
The cuboid’s dimensions are in the ratio of 16:12:8, and the sum of these dimensions is 180 dm. What are the dimensions of the cuboid? - Cylinder melted into cuboid
A circular cylinder has an area of cross-section of 56 cm², and the height is 10cm. The cylinder is melted into a cuboid with a base area of 16 cm². What is the height of the cuboid? - Cone
Into rotating cone with dimensions r = 8 cm and h = 8 cm is an inscribed cylinder with maximum volume so that the cylinder axis is perpendicular to the cone's axis. Determine the dimensions of the cylinder. - Plan of the village
The plan of the municipality in 1:1000 scale has plotted garden with dimensions 25 mm and 28 mm. Determine the area of gardens in ares in reality. - Tournament match calculation
The long-term volleyball tournament is played one-on-one. So far, 11 teams have entered the competition. How many matches will be lost when two teams unsubscribe? - Percentage - prism and cube
Prism with square base a=25 cm, height h=45 cm. cube: b=15 cm a) what percentage of the volume of the prism is the volume of the cube? b) what height should the prism have to have the same volume as the cube? - Block dimension ratio
A cuboid has dimensions in the ratio 9:5:4. Determine its volume, given that the sum of the longest and shortest edges is 65 cm. - Six-digit primes
Find all six-digit prime numbers that contain each one of digits 1,2,4,5,7, and 8 just once. How many are there? - Painters 5
Six painters were supposed to paint 6,000 m² within the planned time. Two painters fell ill, so each of the four remaining had to paint 50 m² more per day than the original planned daily output. Calculate the original planned daily output per painter. - Scale factor 2
Nadeem has a 10-inch by 10-inch photo album. He wants to make a large copy of the original photo to fit the album. What are the largest dimensions of the copy if he keeps the proportion of the original photo? Explain your answer. The original photo is 5 i - Average 110
The average of five numbers is 1.3. What is their sum? What is the arithmetic mean of the numbers 0.04, 0.014, and 0.21? The arithmetic mean of four decimal numbers is 2.5. Three of these numbers are 1.8, 0.65, and 3.1. What is the fourth number? - Decibel
What percentage of sound intensity increases if the sound intensity level increases by 1 dB? - Inequality proof
Let a, b, and c be positive real numbers whose sum is 3, each of which is at most 2. Prove that the inequality holds: a2 + b2 + c2 + 3abc - Diameter of a drum
Winding drum length 180 mm, initial diameter 60 mm. Using a 6 mm rope with a length of 50 m, what will be the diameter of the wound drum with the rope? - Cuboid - ratio
Find the volume of a block whose dimensions are in the ratio 2:3:4 and the surface is 117 dm². - Scale of plan
On the village plan on the scale of 1:1000, a rectangular garden is drawn. Its dimensions on the plan are 25 mm and 28 mm. Determine the area of the garden in ares. - Reciprocal
Prove that if a > b > 0, then: (1)/(a)< (1)/(b) - Mailbox
A mailbox is opened at regular intervals 5 times a day. It is first opened at 9:00 and last at 17:00. Calculate the times at which the mailbox is opened during the day. - Six segmants
Given are 6 line segments with lengths of 3 cm, 4 cm, 5 cm, 7 cm, 8 cm, and 9 cm. How many equilateral triangles can make from them? List all the options. - Isosceles triangle construction
There are six lines 3 cm, 4 cm, 5 cm, 7 cm, 8 cm, and 9 cm long, two of each length. How many isosceles triangles can be constructed from them? List all options.
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