Square root + volume - practice problems - page 10 of 11
Number of problems found: 220
- 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. - 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. - Determine 2429
Determine the length of the cube's edge, the volume of which is equal to 60% of the volume of a block measuring 7cm, 8cm, and 6cm. - Central park in city
The city park has the shape of a rectangle of 180 meters in length and 120 meters in width. People make their walk through the center of the park from one corner to the second. Calculate how many meters this way is shorter than walking along the path arou
- Tetrahedral pyramid
Calculate the regular tetrahedral pyramid's volume and surface if the area of the base is 20 cm² and the deviation angle of the side edges from the plane of the base is 60 degrees. - Triangular pyramid
Calculate a regular triangular pyramid's volume and surface area with a height equal to the base edge 10 cm long. - Pine wood
We cut a carved beam from a trunk of pine 6 m long and 35 cm in diameter. The beam has a cross-section in the shape of a square. The square has the greatest area. Calculate the length of the sides of a square. Calculate the volume in cubic meters of lumbe - Cube 6
The surface area of one wall cube is 1600 cm square. How many liters of water can fit into the cube? - Cube 6
The volume of the cube is 216 cm³. Calculate its surface area.
- TV transmitter
The volume of water in the rectangular swimming pool is 6998.4 hectoliters. The promotional leaflet states that if we wanted all the pool water to flow into a regular quadrangle with a base edge equal to the average depth of the pool, the prism would have - Pyramid
Cuboid ABCDEFGH has dimensions AB 3 cm, BC 4 cm, CG 5 cm. Calculate the volume and surface area of a triangular pyramid ADEC. - 4side pyramid
Calculate the volume and surface of the regular four-sided pyramid whose base edge is 4 cm long. The angle from the plane of the sidewall and base plane is 60 degrees. - Cuboid - complicated
Three walls of the same cuboid have an area of 6 cm², 10 cm², and 15 cm². Calculate the volume of the cuboid. - Silver medal
A circular silver medal with a diameter of 10 cm is an inscribed gold cross consisting of five equal squares. What is the area of the silver part? b) What is the area of the golden cross?
- Rhombus base
Calculate the volume and surface area of prisms whose base is a rhombus with diagonals u1 = 12 cm and u2 = 15 cm. Prism height is twice the base edge length. - Rotary cylinder 2
The base circumference of the rotary cylinder has the same length as its height. What is the surface area of the cylinder if its volume is 250 dm³? - Flowerbed
Flowerbed has the shape of a truncated pyramid. The bottom edge of the base a = 10 m, and the upper base b = 9 m. The deviation angle between the edge and the base is alpha = 45°. What volume is needed to make this flowerbed? How many plants can be plante - Chemical parison
The blown parison (with the shape of a sphere) has a volume of 1.5 liters. What is its surface? - Mystery of stereometrie
Two regular tetrahedrons have surfaces 76 cm² and 171 cm². In what ratio are their volumes? Write as a fraction and as a decimal rounded to 4 decimal places.
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