Solid geometry, stereometry - page 47 of 121
Number of problems found: 2404
- Metal rails
Dad needs to improve the edges of the wooden boxes, which are to be reinforced with metal rails. How many cm of rails will he need if the box has the shape of a prism and the length of the edges is 70cm, 70cm, and 120cm? - 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? - Triangular prism
The base of the perpendicular triangular prism is a right triangle with a leg length of 5 cm. The area of the largest sidewall of its surface is 130 cm², and the body's height is 10 cm. Calculate its volume. - Water
The lawn has an area 1571 m², rained 5 mm of water. How many liters of water rained? - Present
The gift box has a rectangular shape with dimensions of 8×8×3 cm. Miloslav wants to cover it with square paper with sides of 18 cm. How much paper was left to him? - One-quarter 16853
How many m² of paper are needed to produce 1000 pieces of cube-shaped boxes with an 8 cm edge when we must add one-quarter of the area to the joints? - Triangular 6950
A triangular prism has the base of a right triangle with 6 dm and 8 dm legs and a hypotenuse of 10 dm. The height of the prism is 40 dm. What is the volume of a prism? - Quadrilateral 6116
The area of a regular quadrilateral pyramid's mantle is equal to twice its base's area. Calculate the pyramid's surface if the length of the base edge is 20 dm. - Aquarium 3432
The aquarium has the shape of a block with a length of 0.7 m and a width of 25 cm. It can hold 56 liters of water. How deep is the aquarium? - Quarter-liter 3380
A container has the shape of a regular hexagonal prism with a base and a capacity of 0.5 dm2, which means three quarter-liter cups of water fill the brim. What is the height of a container? - Centimeter 83033
Calculate the weight in kg of a steel rope 1.5 cm in diameter and 10 m long if one cubic centimeter of steel weighs 7.8 g - Diameter 30533
The open tank has the shape of a cylinder with a diameter of d = 1 m and a height of v = 2 m. How many m² of sheet metal is needed to make the tank? How many liters of water will fit in this tank? - Spherical 27051
How much fabric is needed to sew a spherical hot air balloon with a diameter of 15 m? How much air is needed to inflate the balloon? - Calculate 6178
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. - Dimensions 3406
We poured 3 liters of water into an empty aquarium, with a bottom dimension of 30x30cm and a height of 25cm. What is the level? - Calculate 3060
Calculate the surface area of a pipe section if: outer diameter = 40 cm; length = 3m - Area of the cone
Calculate the surface area of the cone. You know the base diameter is 25 cm, and the height is 40 cm. - Concrete pipe
The concrete pipe is cylindrical, with an inner diameter of 60 cm and an outer diameter of 67 cm. If it is 10 m long, calculate its surface. - Trapezoidal base
Calculate the surface and volume of a quadrilateral prism with a trapezoidal base, where a = 7 cm, b = 4 cm, c = 5 cm, d = 4 cm, the height of trapezium v = 3.7 cm, and the height of the prism h = 5 cm. - Regular quadrilateral pyramid
What is the volume of a regular quadrilateral pyramid if the edge of the base is 8 cm long and the height of the side wall is 5 cm?
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