Solid geometry, stereometry - page 76 of 123
Number of problems found: 2442
- Bucket volume increase
We threw a prism with the base of a right triangle with squares 15 × 10 cm and a prism height of 1.5 dm into a 10 l bucket. How much has the volume in the bucket increased? - Reservoir - spherical
The reservoir is a sphere with a diameter of 12 m. If it is painted twice, how many kg of paint is needed to paint it, and one kilogram is enough to paint about 8 m²? - Paint cans
The room has 4 m, 5 m, and 2.4 m dimensions. Suppose one can is enough to paint 10 m². How many cans of paint are needed to paint the walls and ceiling of this room? - Prism - eq triangle
Calculate the volume and surface of the prism with the base of an equilateral triangle with side a = 4 cm, and the body height is 6 cm. - Right prism
The base of the right prism is a right triangle with leg a = 5 cm and a hypotenuse c = 13 cm. The height of the prism is equal to the circumference of the base. Calculate the surface area and volume of the prism. - The cylindrical container
The container has a cylindrical shape. The base diameter 0.8 meters has an area of the base equal to the shell's area. How many full liters of water can be poured maximally into the container? - Sails
We know the heights of sail, 220, 165, and 132. It has a triangular shape. What is the surface of the sail? - Rainfall
The average annual rainfall in our country is 619 mm. How many m³ of water falls on average per hectare? - Rotating cone II
Calculate the lateral surface area of a cone with base radius r = 20 cm and height h = 10 cm. - Sphere cuts
At what distance from the centre does a plane intersect a sphere of radius R = 46, if the area of the circular cross-section and the area of the great circle are in the ratio 2:5? - Indoor aquarium
World's biggest indoor aquarium. In its enormous tank with the capacity represented by the following polynomial V=4x³+43x²+63x The aquarium is rectangular prism-shaped. Find the following: 1. If the aquarium's height is x, then find the area of the base ( - The base 2
The base diameter of a right cone is 16 cm, and its slant height is 12 cm. A. ) Find the perpendicular height of the cone to 1 decimal place. B. ) Find the volume of the cone, and convert it to 3 significant figures. Take pi =3.14 - Cube volume surface
The volume of a cube is 0.512 m³. Calculate its surface area. - Cube volume edge
The volume of the cube is 15625 cubic meters. Find the length of the edge and the surface of the cube. - Container diameter calculation
The cylindrical container is completely filled and contains 62.8 liters of water. It is half a meter high. Calculate the bottom diameter. - Cube edges
The sum of the lengths of the cube edges is 48 cm. Calculate the surface of the cube. - Cube diagonal
Calculate the solid diagonal of a cube whose surface equals 24 square centimeters. - Box wand fit
The box has dimensions of 30 cm, 40 cm, and 120 cm. Will a 128 cm long wand fit in it? - Whistle fit
Peter wants to hide a 60 cm long whistle in a shoebox that measures 25 cm x 48 cm x 21 cm. Will he make it? - 216 surface area and volume
Calculate the surface area and volume of a regular tetrahedral pyramid with base edge a = 6 cm and height of 12 cm.
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