Square + volume - practice problems
Number of problems found: 513
- Tent - spherical cap
I have a tent in the shape of a spherical cap. Assume we want the volume to be 4 cubic meters, to sleep two or three people. Assume that the material making up the dome of the ten is twice as expensive per square as the material touching the ground. What - Calculate 415
Calculate the cuboid's dimensions if the sum of its edges is 19cm. The body's diagonal size is 13 cm, and its volume is 144 cm³. The total surface area is 192 cm². - A frustum
A frustum of a pyramid consists of a square base of length 10 cm and a top square of length 7 cm. The height of the frustum is 6 cm. Calculate the surface area and volume. - Area of square
Calculate the area of the square whose perimeter is 24 dm. - Markus painter
Markus used ¾ liter of paint to cover 10 ½ square meters of wall. How many liters of paint are needed to cover 12 ¼ square meters of the wall? - Hydrostatic 80798
Calculate the depth of water at which the hydrostatic pressure is equal to 100870 N/m². We only consider hydrostatic pressure. - Density 67774
The prism, whose base is square / the side of the square is 20 cm / 30 cm high, is made of oak wood, and weighs 8.5 kg. What is the density of oak wood? - Expression 82698
Calculate the value of the expression V = 3x²- 2x + 3 for x = -2. - Increase 65794
The area of the square is 36 cm². What will be the area of the square if we increase the length of a side by 25%? - Gravitational 54411
How much force do we lift a stone in the water that weighs 30 kg and has a density of 2500 kg/m³? Gravitational acceleration g = 10 m/s². - Volume of wood
Every year, at the same time, an increase in the volume of wood in the forest is measured. The increase is regularly p% compared to the previous year. If in 10 years the volume of wood has increased by 10%, what is the number p? - Benhur
Benhur boiled 1 1/4 liters of water in a kettle. After 10 1/2 minutes, he measured the water again. It had 3/4 liters left in the kettle. What is the amount of water that evaporates every minute? - Ethanol 39281
How much power can we get if we pour ethanol on a mini turbine from a height of 1.5 m Volume Ethanol 0.2m³. How much work does ethanol do? The casting time is 1.9 minutes. The density of ethanol is 789 kg/m². - Bequeathed 7803
The father bequeathed to his two sons 4 gold plates in the shape of a square, which were 1 mm thick. The side lengths of these plates were 5 cm, 10 cm, 10 cm, and 15 cm. The sons were to receive the same amount of gold. How many gold plates did each son r - Two pipes
How long will the pool be filled with a double supply pipe if it takes the pool to fill the first pipe by 4 hours long and the second pipe 9 hours longer than both pipes open simultaneously? - Vinegar 2
How many percentages of vinegar solution will we get if we mix 3.5 liters of 5.8% and 5 liters of 7.6% vinegar? - Pool
If water flows into the pool by two inlets, fill the whole for 20 hours. The first inlet filled the pool 8 hour longer than the second. How long does the pool take to fill with two inlets separately? - Mr. Bradshaw
Mr. Bradshaw is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is 5 meters high. The ladder's base is 1 meter away from the house, where Mr. Bradshaw's son is holding it steady. How long is - Right-angled 82416
What are the sides of a right-angled triangle with a perimeter of 45 centimeters and a volume of 67.5 cm²? - Perpendiculars 66274
The perpendiculars of a right triangle have lengths of 30 cm and 40 cm. What is the height of the triangle?
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