Solid geometry, stereometry - page 70 of 117
Number of problems found: 2337
- Water reservoir
The cuboid reservoir contains 1900 hectoliters of water, and the water height is 2.7 m. Determine the bottom dimensions where one dimension is 2.2 m longer than the second.
- The soap
The soap has the shape of a cuboid with dimensions of 6 cm, 4 cm, and 2 cm. Katy used it for a week and all the dimensions of the soap shrunk by half. How long will her soap last?
- Metal box
How much metal do we need to produce in a box with dimensions of 5 dm, 30 cm, and a height of 1 m? Add 12% of the waste and fold.
- Plastic pipe
Calculate the plastic pipe's weight with diameter d = 100 mm and length 330 cm if the wall thickness is 4 mm and the density of plastic is 1346 kg/m³.
- Sandpile
Auto sprinkled with sand to an approximately conical shape. Workers wanted to determine the volume (amount of sand) and, therefore, measure the base's circumference and the length of both sides of the cone (over the top). What is the sand cone's volume if
- 10-centimeter-high 7638
A block with a square base is inserted into a 10-centimeter-high cylinder in such a way that its base is inscribed in the base of the cylinder. The edge of the base of the block measures 4 cm. Both bodies have the same height. Calculate the difference bet
- Calculate 83311
The surface of the cuboid is S = 1714 cm². The edges are 25 and 14 cm long. Calculate its volume.
- Circumference 15653
Calculate the surface and volume of a rotating cone whose base circumference is 125.6 cm and the side is 25 cm long.
- Quadrilateral 13881
Please calculate the volume of a quadrilateral pyramid when a = 5cm and the wall height is w = 12cm.
- Dimensions 13671
How high does a prism with the dimensions of the base 1.7 dm and 5 dm reach if it fits 1032 dm³?
- Quadrilateral 8220
Calculate the volume of a regular quadrilateral pyramid, whose wall height is w = 12 cm and the edge of the base is a = 5 cm.
- Calculate 7653
The block volume is 900 cm3, and the surface is 600 cm². The area of one wall is 60 cm². Calculate the length of edges a, b, and c.
- 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.
- Base side
In a quadrilateral prism, are known surface area S = 12400 mm2, base side m = 40mm, and prism height = 120mm. What is the length of base side n =?
- Surface area and volume
Find the surface area and volume of a rotating cone whose diameter is 60 mm and side length is 3.4 cm.
- Calculate
Calculate the cone's surface and volume from the rotation of the right triangle ABC with the squares 6 cm and 9 cm long around the shorter squeegee.
- Wall height
Calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height w = 20 cm.
- The quadrilateral pyramid
The quadrilateral pyramid has a rectangular base of 24 cm x 3.2dm and a body height of 0.4m. Calculate its volume and surface area.
- Dimensions of a cylinder
We rolled a cylinder shell with a volume of 18 / π dm³ from a rectangle with an area of 6 dm². Calculate the dimensions of the rectangle.
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