Solid geometry, stereometry - page 68 of 121
Number of problems found: 2404
- Corresponding 67714
The quadrilateral prism has a volume of 720 cm³. Calculate the height of the prism if the base is a rhombus with a side 16 cm long and a corresponding height of 5 cm. - Calculate 63764
A glass in the shape of a cylinder with a base diameter of 6 cm can hold 4dl of water. Calculate the height of the glass and its surface. - Calculate 40091
Calculate the size of the cube edge if the diagonal of the wall is 8 cm. - Calculate 32133
The cube has an area of 486 dm². Calculate the length of its side, its volume, the length of the body, and wall diagonals. - Quadrilateral 23701
We know a regular quadrilateral pyramid's base diagonal length of u = 4 cm. The height of the pyramid is v = 5cm. Calculate the size of the side edge and the base edge of the pyramid. - Three faces of a cuboid
The diagonals of the three walls of a cuboid are 13, √281, and 20 units long, respectively. Thus, the cuboid's total surface area is. - Centimeters 3940
Calculate the solid diagonal of a cube whose surface equals 24 square centimeters. - From a full
From a full cylindrical glass with a diameter of 8 cm, we poured 1 deciliter of water. By how many centimeters did the water level in the glass drop? - Raymond
Raymond is designing a 1-liter Tetrapak for milk. He knows that the rectangular base must be 50mm by 100mm. Therefore, he needs to make the height of the Tetrapak. - Measuring aquarium
We poured 3 liters of water into an empty aquarium measuring 30x20 cm and 25 cm high. What is the level? - Quadrilateral prism
Calculate the surface and volume of a quadrilateral prism if given: the area of the base is 40 cm square, the bottom of the base is k = 8 cm, and the height of the prism is 1.3 dm (the bottom is a rectangle) - Surface of the cone
Calculate the cone's surface if its height is 8 cm and the volume is 301.44 cm³. - Cube wall
Calculate the cube's diagonal if you know that one wall's surface equals 36 centimeters square. Please also calculate its volume. - Nice prism
Calculate the cuboid's surface if the sum of its edges is a + b + c = 19 cm and the body diagonal size u = 13 cm. - Tetrahedral pyramid
It is given a regular tetrahedral pyramid with a base edge of 6 cm and a height of pyramid 10 cm. Calculate the length of its side edges. - Mr. Gardener
Mr. Gardener wants to make wood for the balcony. Boxes. Each will have the shape of a perpendicular prism with a square base. The height is limited to 60 cm. He will fill each container with soil by pouring the whole bag of substrate sold into a package c - Bricks wall
There are 5000 bricks. How high wall thicknesses of 20 cm around the area, which has dimensions of 20 m and 15 m, can use these bricks to build? Brick dimensions are 30 cm, 20 cm, and 10 cm. - Tin with oil
Tin with oil has the shape of a rotating cylinder whose height is equal to the diameter of its base. The canned surface is 1884 cm². Calculate how many liters of oil are in the tin. - Cheops pyramid
The Pyramid of Cheops is a pyramid with a square base with a side of 233 m and a height of 146.6 m. It is made from limestone with a density of 2.7 g/cm³. Calculate the amount of stone in tons. How many trains with 30 twenty-ton wagons carry the stone? - Calculation 81401
A regular four-sided pyramid has a volume of 2,160 liters and a base edge length of 12 dm. Calculate the height of the needle (sketch, calculation, answer).
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