Volume - high school - practice problems - page 13 of 21
Number of problems found: 412
- Square pyramid
Calculate the pyramid's volume with the side 5 cm long and with a square base, and the side base has an angle of 60 degrees. - Hexagon cut pyramid
Calculate the volume of a regular 6-sided cut pyramid if the bottom edge is 30 cm, the top edge is 12 cm, and the side edge length is 41 cm. - Right-angled 4951
Calculate the volume and surface area of the body that is created by cutting out a three-sided prism of the same height from a cuboid with dimensions of 10 cm, 15 cm, and 20 cm, whose base is a right-angled triangle with dimensions of 3 cm, 4 cm, and 5 - Compressive 4894
At what depths does a hydrostatic compressive force of 3 kN act at a depth of 30 m in water?
- ----------------- 4850
v = 35 m α = 55 ° β = 15 ° ----------------- X =? Calculate: V- barrack volume =? S- barrack area =? - Calculate 4689
The area of the rotating cone shell is 240 cm2, and the area of its base is 160 cm². Calculate the volume of this cone. - Surface 4588
What is the volume of a sphere with a surface area of 113.04 square meters? - Prescribed 4579
The racing ball for men has a prescribed weight of 7250g. It is made of iron. How does its diameter change if we make it from lead? The density of iron is 7.8 g / cm cubic, and the density of lead is 11.3 t / m cubic. - Hectoliters 4550
The water's surface in the pool is a rectangle 50 meters long and 12 meters wide. The water depth rises evenly from 1 meter at one end of the pool to 3 meters at the other end of the pool (longer sides). Determine the amount of water in the pool in hectol
- Four sided prism
Calculate the volume and surface area of a regular quadrangular prism whose height is 28.6cm, and the diagonal body forms a 50-degree angle with the base plane. - Cuboid and eq2
Calculate the volume of a cuboid with a square base and height of 6 cm if the surface area is 48 cm². - Body diagonal
The cuboid has a volume of 32 cm³. Its side surface area is double as one of the square bases. What is the length of the body diagonal? - Pharmacy
The pharmacy adds 3 liters of 95 percent alcohol and 5 liters of 38.04 percent alcohol. How much percent alcohol the pharmacy got? - Resulting 4446
A square with a side length of 3 cm rotates around its diagonal. Calculate the volume and surface area of the resulting body.
- Tower model
The tower's height is 300 meters, and its weight is 8000 tons. How high is the model of the tower's weight of 1 kg? (State the result in centimeters). The model is made from exactly the same material as the original no numbers need to be rounded. A result - Rectangle pool
Find dimensions of an open pool with a square bottom with a capacity of 32 m³ to have painted/bricked walls with the least amount of material. - Originally 4292
The weight of the water container is 2.48 kg. If we pour 75% of the water, the container with water weighs 0.98 kg. Find the weight of the empty container. How much water was originally in the container? - Gasoline canisters
Thirty-five liters of gasoline is to be divided into four canisters so that the third canister will have 5 liters less than the first canister, the fourth canister 10 liters more than the third canister, and the second canister half of that in the first c - Paper box
The hard rectangular paper has dimensions of 60 cm and 28 cm. We cut off the corners into equal squares, and the residue was bent to form an open box. How long must beside the squares be the largest volume of the box?
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