Square practice problems - page 135 of 150
Number of problems found: 2990
- Prism surface calculation
Calculate the surface of a regular 5-sided prism with a base area of 60 dm² if the length of the edge of the lower base is four dm. The height of the prism is 1.3 m. - Tent air volume
The tent has the shape of a mantle of a regular quadrilateral pyramid with a base edge of 3.5 meters and a height of 2.4 meters. How many cubic meters of air does it contain? - Pyramid Surface Area Ratio
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. - 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? - Children pool
The bottom of the children's pool is a regular hexagon with a = 60 cm side. The distance between opposing sides is 104 cm, and the height of the pool is 45 cm. A) How many liters of water can fit into the pool? B) The pool is made of a double layer of pla - Water height calculation
There are 50 liters of water in a filled container in the shape of a regular quadrilateral prism. Determine the height of the water if the edge of the base a = 25 cm. - Distance
Calculate the distance between two points K[6; -9] and G[5; -1]. - Lawns
Before a sports hall are two equally large rectangular lawns measuring 40 m and 12 m. Maintenance of a 10m² lawn costs 45 CZK yearly. On each lawn is a circular flowerbed with a diameter of 8 meters. How much money is needed each year to take on lawn care - Surface of Quadrilateral Prism
Calculate the surface of a quadrilateral prism two dm high, the base of which is a square with a side of 15cm. - Pyramid intersection
Given a regular quadrilateral pyramid ABCDV, point M is inside its edge AV, and point N is on the long line DC beyond point C. Construct the intersection of the plane MNV with the plane BCV and the intersection of the line MN and the plane BCV. - Tablecloth diameter calculation
The round tabletop has a capacity of 2.01 m². Calculate the diameter of the round tablecloth if it exceeds the table's edge by 25 cm. - Paper box
Calculate the paper consumption on the box-shaped quadrangular prism with rhombic footstall, base edge a=6 cm, and the adjacent base edges form an angle alpha = 60 °. The box height is 10 cm. How much m² of the paper is consumed 100 such boxes? - Construct
Construct a rhombus ABCD if the size of the diagonal AC is 6 cm and the diagonal BD is 8 cm long. - The tent
The tent shape of a regular quadrilateral pyramid has a base edge length of a = 2 m and a height of v = 1.8 m. If we have to add 7% of the seams, how many m² of cloth did we need to make the tent? How many m³ of air will be in the tent? - Midpoint of segment
Find the distance and midpoint between A(1,2) and B(5,5). - Forces
Forces with magnitudes F1 = 42N and F2 = 35N act at a common point and make an angle of 77°12'. How big is their resultant? - 6 regular polygon
A regular six-sided polygon has a side 5 cm long. Calculate its area. Compare how many more cm² (square centimeters) has a circle inscribed the 6-gon. - Cone Lateral Surface Area
Calculate the cone shell with a base diameter of 40 cm and a cone height of 50 cm. - Cube Surface from Section
The cube A B C D A'B'C'D 'has a section area ACC'A' equal to 64 square root of 2 cm². Calculate the surface of the cube. - Six-sided parasol
The parasol has the shape of the shell of a regular six-sided pyramid, whose base edge is a=6 dm and height v=25 cm. How much fabric is needed to make a parasol if we count 10% for joints and waste?
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