Solid geometry, stereometry - page 23 of 115
Solid geometry is the name for the geometry of three-dimensional Euclidean space.Stereometry involves the measurements of volumes of various solid figures (three-dimensional figures), including pyramids, prisms, and other polyhedrons; cylinders; cones; truncated cones; and balls bounded by spheres.
Number of problems found: 2283
- Calculate 6207
The cuboid with a base measuring 17 cm and 13 cm has a surface of 1342 cm². Calculate the height of the cuboid and sketch its network. - Suppose 7
Suppose a rectangular classroom is 16 feet long, 24 feet wide, and has a volume of 3,763 cubic feet. How high above the floor is the ceiling? - Water level
How many cm will the water level in a cube-shaped tank with an edge of 3 m drop if we discharge 189 hl of water? - Rain
It rains at night. On 1 m² of the lake will drop 60 liters of water. How many cm will the lake level rise?
- Volume and surface
Calculate the volume and surface area of the cylinder when the cylinder height and base diameter are in a ratio of 3:4 and the area of the cylinder jacket is 24 dm². - Three dice
When you throw three dice was, the sum total of the dice 10. The yellow dice fell one eye more than on the red, and brown fell three eyes less than red. How many eyes fell on every dice? - Cylindrical 66114
The cylindrical vase has a volume of 1 l. Calculate the height of the vase if its base has an area of 0.5 dm². - Calculate 62864
The block volume is 1440 cm3, its surface is 792 cm2, and the area of one of its walls is 92 cm². Calculate the lengths of its sides. - Calculate 16513
The conical funnel has a volume of 0.5 liters and a height of 7 cm. Calculate the radius of its upper edge.
- Consecutive members
The block has a volume of 1728 cm³. Determine the lengths of the edges a, b, and c of the blocks for which a < b < c and a + b + c = 38 cm and whose numerical values in cm represent three consecutive members of the geometric sequence. - Cuboid
The volume of the cuboid is 245 cm³. Each cuboid edge length can be expressed by an integer greater than 1 cm. What is the surface area of the cuboid? - Swimming pool
The pool shape of a cuboid is 299 m³, full of water. Determine the dimensions of its bottom if the water depth is 282 cm and one bottom dimension is 4.7 m greater than the second. - Deciliters 66324
We placed the largest possible lead cylinder in a 1-liter cube container. How many deciliters of water will now fit in the container? - Liters 44031
What is the width of a block with volume V = 600 liters, if a = 120cm, b = 50cm?
- Circumference 27581
The rotating cone has a base circumference of 62.8 cm. And a height of 0.7 dm. Calculate its surface area and volume. - Dimensions 8111
The sum of the lengths of all block edges is 4m. The width is twice the length, and the height is seven times the width. Determine the dimensions of the block. Thank you luck - Cylindrical 7942
The cylindrical container should have a volume of 1 liter, and its height will be 15 cm. What will be its average? - Cylindrical 3394
The cylindrical container with a diameter of 1.8 m contains 2000 l of water. What height does the water reach? - Water tank
300 hl of water were filled into the tank 12 m long and 6 m wide. How high does it reach?
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