Solid geometry, stereometry - page 76 of 121
Number of problems found: 2402
- Butter
The Orville Redenbacher popcorn factory has a tank of artificial butter substitutes, which is 55 feet tall and 18 feet in diameter. How many gallons of artificial butter substitute can the tank contain? - Calculate 82549
The cylinder has a shell surface of 88 square cm and a volume of 176 cubic cm. Calculate the radius, height, and surface area of the given solid. - Slant height 2
A regular triangular pyramid with a slant height of 9 m has a volume of 50 m³. Find the lateral area of the pyramid. - Vertical prism
The base of the vertical 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. - Triangular prism
The base perpendicular triangular prism is a right triangle whose hypotenuse measures 14 cm and one cathetus 9 cm. The height of the prism is equal to 2/9 of the base's perimeter. Calculate the surface area of the prism. - Sphere - parts
Calculate the area of a spherical cap, which is part of an area with a base radius ρ = 8 cm and a height v = 4.2 cm. - Sphere cuts
At what distance from the center does the sphere intersect with the radius R = 46 plane if the cut area and area of the main sphere circle are in ratio 2/5?
- Quadrilateral 40551
Find the volume and surface area of a regular quadrilateral pyramid ABCDV if its leading edge has a length a = 10 cm and a body height h = 12 cm. - Rectangular 4546
Thirty watering cans of 8 liters of water are brought to the rectangular garden measuring 15 m and 10 m. During the rain, 2 mm of water fell on the garden. When was the flowerbed more watered? - Calculate diagonals
Calculate the length of the solid diagonals of a prism with a rhombus base if the sizes of the base diagonals are 16 cm and 20 cm and the height of the prism is 32 cm. Calculate the size of the base edge. - Prism
Calculate the volume of the rhombic prism. The prism base is a rhombus whose one diagonal is 47 cm, and the edge of the base is 27 cm. The edge length and height of the base of the prism are 4:3. - Calculate 82459
Calculate the depth of a pool that is 10 m long and 5 m wide if its volume is 65 m³ - Measures 2535
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? - Cube 53
A cuboid with a volume of 60 cm³ has a base with dimensions of 3 cm and 5 cm. Calculate the height of the cuboid in centimeters. - Corresponding 68604
The prism with a square base has a volume of 200 liters, and the length of its base edge is a decimeter. Using the corresponding expression of the prism, write the height of the prism in decimetres.
- Dimensions 23571
The block has the dimensions a = ?, b = 10 m, c = 6.2 m, the surface is 192.04 m². What is the length of side a? - Surface of the cuboid
Find the surface of the cuboid if its edges have the dimensions a, 2/3a, and 2a. - The volume
The volume of the sphere is 1 m³. What is its surface? - Surface - formula
Of the formula, S = the surface of the cuboid S=2. (ab+ac+bc) express unknown c. C =? - Spherical sector
Calculate the volume and surface area of a spherical sector if the spherical segment that is part of the sector has a base radius r1 = 6 cm and a height v = 2 cm.
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