Volume + equation - practice problems - page 3 of 13
Number of problems found: 241
- Assembling 63964
Little Pavel was assembling building blocks (a cube is shaped like a cube). He wanted to build a big cube. However, he had 75 dice left, so he increased the edge by one die. Then he was missing 16 dice. How many cubes did he have in the kit? - Calculate 62864
The block volume is 1440 cm3, its surface is 792 cm2, and the area of one of its walls is 92 cm². Calculate the lengths of its sides. - Dividing rod
The 3m long rod should be divided into two parts so that one is 16cm longer than the other. Find the lengths of both parts. - Side wall planes
Find the volume and surface of a cuboid whose side c is 30 cm long and the body diagonal forms angles of 24°20' and 45°30' with the planes of the side walls.
- Corresponding 60311
The drink was mixed from one hundred percent juice and water in a ratio of 1.5 liters of juice to 2.5 liters of water. Calculate how many liters of this drink will be created by mixing 1 liter of water and juice in the corresponding ratio. Calculate how m - Gas prices 2021
According to the SPP price list in 2021, the price of natural gas, together with its supply, is as follows: D1 - we cook. Fix 3.34 euros/month and 0.0479 euros/kWh (1 cubic meter of gas is approximately 10.555 kWh. It is called combustion heat and changes - Cost structure
You are currently trying to decide between two cost structures for your business: one with a greater proportion of short-term fixed costs and another more heavily weighted to variable costs. Estimated revenue and cost data for each alternative are as foll - Tank B
Tank B has the same volume as Tank A. The volume of one section of Tank B is 4545 cubic feet. What is the volume, in cubic feet, of the other section of Tank B? Total volume of both tanks A+B is 15000 ft³. Enter your answer in the box. - The surface
The surface of the cylinder is 1570 cm²; its height is 15 cm. Find the volume and radius of the base.
- There
There is 5 l of water with a temperature of 20°C in the bucket. We add 3 liters of hot water. The resulting temperature will be 30°C. What was the temperature of the hot water? - Grandfather
Grandfather brought a full bucket of blueberries to the market and sold one-sixth of them in the morning. When he sold another 12 liters of blueberries in the afternoon, he had one-sixth of a bucket of blueberries left. How many liters of blueberries are - Imported 45531
They used a quarter of the imported milk to make butter, half to make a cream, and 100 liters to make cottage cheese at the dairy. How many liters of milk was used to make the cream? - The truncated
The truncated rotating cone has bases with radii r1 = 8 cm, r2 = 4 cm and height v = 5 cm. What is the volume of the cone from which the truncated cone originated? - Truncated pyramid
The truncated regular quadrilateral pyramid has a volume of 74 cm3, a height v = 6 cm, and an area of the lower base 15 cm² greater than the upper base's area. Calculate the area of the upper base.
- Petra
Petra likes to bathe in a bathtub with a water temperature of 38 degrees. She turned on the hot water set at 70 degrees and left for a moment. Before she returned, 40 liters of water flowed into the tub. How much water with a temperature of 22 degrees mus - The block
The block, the edges formed by three consecutive GP members, has a surface area of 112 cm². The sum of the edges that pass through one vertex is 14 cm. Calculate the volume of this block. - Consider
Consider all square prisms with a height of 10 cm. If x is the measurement of the base edge in cm, and y is the prism's volume in cm³. Graph the function - The aluminum
We placed the aluminum object with a weight of 0.80 kg and a temperature of 250°C in the water with a weight of 1.6 kg and a temperature of 23°C. What is the system temperature after reaching equilibrium? We assume that the heat exchange occurred only bet - Alcohol solutions
We have to produce 2 liters of 60% alcohol from 55% and 80%. How many of which ones will we use in the solution?
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