Solid geometry, stereometry - page 45 of 120
Number of problems found: 2399
- Triangular prism
Calculate the volume and surface area of a triangular prism if it is given: a = 6.8 dm (a = base edge length) ha = 4 dm. (ha = base triangle height length) v = 23 dm (v = body height) - Cut and cone
Calculate the volume of the rotation cone whose lateral surface is a circular arc with radius 15 cm and central angle 63 degrees. - Wooden prism
Find the weight of a regular wooden triangular prism with a height equal to the base's perimeter and a figure inscribed in a circle with a radius of 6.M cm, where M is the month of your birth. The density of oak is 680 kg/m³. - Embankment
The railway embankment is 300 m long and has a cross-section of an isosceles trapezoid with bases of 14 m and 8 m. The trapezoidal arms are 5 m long. Calculate the amount of soil in the embankment in m³. - Sand path
How much m³ of sand is needed to fill the 1.5m wide path around a rectangular flowerbed of 8m and 14m if the sand layer is 6cm high? - 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?
- Glass aquarium
How many m² of glass are needed to produce an aquarium with a bottom dimension of 70 cm x 40 cm and a height of 50 cm? - Prism
Calculate the surface area and volume of a prism with a body height h = 10 cm, and its base has the shape of a rhomboid with sides a = 5.8 cm, b = 3 cm, and the distance of its two longer sides is w = 2.4 cm. - Triangular prism
Calculate the surface area and volume of a three-sided prism with a base of a right-angled triangle if its sides are a = 3 cm, b = 4 cm, c = 5 cm, and the height of the prism is v = 12 cm. - Perpendicular 35183
Calculate the surface and volume of a vertical prism if its height h = 18 cm and if the base is an equilateral triangle with side length a = 7.5 cm. - Aquarium 28461
The aquarium has a bottom in the shape of a square a = 8 dm. How many liters of water flowed into it if its level rose by 10 cm? - 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? - Dimensions 6996
The carpenter needs to make 4 wooden legs for the table, which have the shape of a regular 4-sided prism with dimensions of 9 cm × 9 cm × 60 cm. He will paint them all over with white paint. How many m² of surface must be painted? - Calculate 6244
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.
- Pyramid four sides
A regular tetrahedral pyramid has a body height of 38 cm and a wall height of 42 cm. Calculate the surface area of the pyramid; the result is round to square centimeters. - 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? - Spherical 83427
The bowl, in the shape of part of a spherical surface, has a diameter of 28 cm at the top edge and is 8 cm deep. What is the total volume of the bowl? How much water would you have to pour into the bowl to fill it halfway? - Centimeters of water
A children's pool in the shape of a cylinder with a base diameter of d = 3 m contains V = 21 hl of water. How deep is it when the water reaches 10 cm below the edge? State the result in centimeters and round to the nearest whole number. - The trench
Calculate how many cubic meters of soil need to be removed from the excavation in the shape of an isosceles trapezoid. The top width is 3 meters, the lower width is 1.8 m, the excavation depth is 1 m, and the length is 20 m.
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