Solid geometry, stereometry - page 17 of 121

Number of problems found: 2418

Basen
How many square meters of tiles do we need to tile the walls and floor of the pool, 15 meters long, six meters wide, and two meters deep?
Triangular RT prism
Calculate the volume and surface of a triangular prism whose base is a right triangle with sides a = 3m, b = ha = 4m, and c = 5m. The height of the prism is v = 5.5 m.
Volcano
The volcano's crater is approximately in the shape of a cone with a base of 3.1416 square miles. The crater's depth is 1500 ft. How many cubic yards of earth would be required to fill this cavity?
Square prism
A square prism has a base with a length of 23 centimeters. What is the area in square centimeters of the base of the prism?
Gasoline Tank Volume Positions
The closed petrol tank is a cuboid with dimensions of 80cm, 30cm, and 20cm. The petrol level reaches 6cm below the upper edge of the tank. Determine the amount of gasoline in the tank in liters for all possible, stable positions of the tank.
Carpet area
The carpet is wound on a cardboard roll in the shape of a cylinder with a diameter of d=12cm and a length of l=2m. The rolled-up carpet has an outer diameter of D=38cm, and the thickness of the rug is 8mm. What area can the carpet cover after unfolding? D
Rotating cone
How does the volume of the rotating cone change if: a) double the radius of the base b) We reduce the height three times c) Reduce the radius of the base five times
Sheet Metal Box Lid
Calculate how many dm² of sheet metal it takes to produce a box without a lid measuring 2.1dm, 3.5dm, and 0.5dm in height.
Lining a Swimming Pool
Length 25m, width 10m, depth 160 cm. How many square meters are needed to line the pool?
Pool Lining Area Calculation
The pool is 25 m long, 10 m wide and deep 8 meters. How many square meters will be needed to line the walls and bottom of the pool?
Surface area 6
Find the surface area of a prism whose bases are right triangles with sides of length 3, 4, and 5 inches and a height of 8 inches. Include a sketch
Cube cut
The cube ABCDA'B'C'D ' has an edge of 12cm. Calculate the area of diagonal cut B DD'B '.
Water flow 2
How many liters of water will flow in 7 minutes from a cylindrical pipe 1 cm in diameter if the water flows at a speed of 30 km per hour?
Pool Volume Liters
The swimming pool in the Veselý yard is square-shaped with dimensions of 2.5m by 3.4m and is 1.7 meters deep. How many liters are in the pool if it is filled to three-quarters of its total volume? Please round the result to tenths.
Rectangular prism
What is the volume if I have a rectangular prism with a length of 1,000 cm, a width of 30 cm, and a height of 50 cm?
Prism lateral area
Calculate the lateral surface area of a pentagonal prism if the total surface area of the prism is 258 cm² and one base of the prism has an area of 64.6 cm². Express the result in cm² as a decimal number.
Cube metal sheeting
We have a cube measuring side a = 540mm. However, it is made of 25 mm thick sheet metal. How much do I need to sheet the cubes inside and the bottom? The lid is not required.
Quadrilateral surface area
Calculate in dm² the surface of a quad whose edges have 1.2 dm, 1.4 dm, and 2dm.
The well
The well has the shape of a cylinder with a diameter of 2 m. From ground level to water level are 4 meters, and the water depth in the well is 6 m. How many m³ of soil did they dig when digging a well? How many liters of water are in the well?
How much
How much money will we pay for 20 planks 4m long, 15cm wide, and 26mm thick when 1m³ of wood costs 4500kč?

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