Solid geometry, stereometry - page 84 of 121
Number of problems found: 2404
- Triangular prism
Calculate the surface of a triangular prism 10 cm high, the base of which is a triangle with sides of 6 cm, 8 cm, and 8 cm - Cubes
Carol with cut bar 12 cm x 12 cm x 135 cm to the cubes. Find the sum of all the surfaces of the resulting cubes. - Tent
Calculate how many liters of air will fit in the tent with a shield in the shape of an isosceles right triangle with legs r = 3 m long, the height = 1.5 m, and a side length d = 5 m. - The cap
A rotating cone shapes a jester hat. Calculate how much paper is needed for the cap 53 cm high when the head circumference is 45 cm. - Quadrilateral 46431
Calculate the volume V and the surface S of a regular quadrilateral pyramid, the base edge and height of which are the same size as the edge of a cube with a volume V1 = 27m3 - Centimeters 6989
The pool measures 4 m and 3 m, and 2.5 m. What height does the water in the pool reach if 25 m³ of water has been added? Round the result to centimeters. - Area to volume
The area of one cube wall is 36 cm². What is the volume of the cube? - Cube diagonal
Determine the length of the cube diagonal with edge 23 km. - Suitcase - rod
The trunk of a car has the shape of a cuboid with sides 1.6m x 1.2m x 0.5m (width, depth, height). Determine the longest thin rod that can be placed on the bottom. - A concrete pedestal
A concrete pedestal has the shape of a right circular cone and a height of 2.5 feet. The diameters of the upper and lower bases are 3 feet and 5 feet, respectively. Determine the pedestal's lateral surface area, total surface area, and volume. - Calculate cylinder
In the rotating cylinder, it is given: V = 120 cm3, v = 4 cm. Calculate r, S mantle. - Rotary bodies
The rotating cone and the rotary cylinder have the same volume of 180 cm³ and the same height, v = 15 cm. Which of these two bodies has a larger surface area? - Cone-shaped 44161
How many square meters of roofing is needed to cover the cone-shaped roof if the perimeter of its base is 15.7m and a height of 30dm - Magnified cube
If the lengths of the cube's edges are extended by 5 cm, its volume will increase by 485 cm³. Determine the surface of both the original and the magnified cube. - Quadrilateral 19413
Calculate the surface area of a regular quadrilateral pyramid given: a= 3.2 cm h= 19 cm Method: 1) calculation of the height of the side wall 2) area of the base 3) shell areas 4) the surface of a regular quadrilateral pyramid - Surface 6995
When the surface of a cube is S = 150cm², what is the length of its edge a =? - Calculate 2548
Calculate the volume of a wooden box in the shape of a prism with the base of a rectangle if the box's width is 8 dm, the length is 14 dm, and the size of the body diagonal is 25 dm. - The perimeter
The perimeter of the base of a regular quadrilateral pyramid is the same as its height. The pyramid has a volume of 288 dm³. Calculate its surface area round the result to the whole dm². - The radius
A right circular cone's radius and slant heights are 9 cm and 15 cm, respectively. Find, correct to one decimal place, the (i) Height (ii) Volume of the cone - Aluminum cylinder
The aluminum cylinder weighs 1400 g and is 26 cm high. Its density is 2700 kg/m³. Calculate the base area of the cylinder and express the result in cm².
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