Solid geometry, stereometry - page 80 of 117
Number of problems found: 2336
- Triangular prism
The base perpendicular triangular prism is a right triangle whose hypotenuse measures 14 cm and one cathetus 9 cm. The height of the prism is equal to 2/9 of the base's perimeter. Calculate the surface area of the prism.
- Tetrapack
How high should the milk box be in the shape of a prism with base dimensions 8 cm and 7.2 cm if its volume is 1 liter?
- Volume increase
How much percent will increase in the pool 50 m, width 15m if the level rises from 1m to 150cm?
- Liters od milk
The cylinder-shaped container contains 80 liters of milk. The milk level is 45 cm. How much milk will be in the container if the level rises to a height of 72 cm?
- Surface of the cuboid
Find the surface of the cuboid if its edges have the dimensions a, 2/3a, and 2a.
- Measures 2535
Peter wants to hide a 60 cm long whistle in a shoebox that measures 25 cm x 48 cm x 21 cm. Will he make it?
- Circumference of edges
The hexagon pyramid has a circumference of 120 cm, and the length of the side edge is 25 cm. Calculate its volume.
- Quadrangular 64724
The decorative object has a quadrangular pyramid shape. Its base edge is 0.7 dm, and its side edge is 1.4 dm long. Calculate its height.
- Perpendiculars 36213
A right triangle with perpendiculars a = 3 cm and b = 4 cm rotates around a longer perpendicular. Calculate the volume and surface area of the resulting cone.
- Measuring 2719
A butter cube with an edge 6.5 cm long is packed in a package measuring a = 28 cm, b = 15 cm. Calculate how many cm² the package is larger than the cube's surface.
- Cylindrical rod
We should grind a cylindrical rod with a diameter of 6 cm and a length of 20 cm to form a conical rod of the same size and the same base diameter. What will be the volume of material removed?
- Vertical prism
The base of the vertical prism is a right triangle with leg a = 5 cm and a hypotenuse c = 13 cm. The height of the prism is equal to the circumference of the base. Calculate the surface area and volume of the prism.
- Sphere
The sphere's surface is 27100 cm², and the weight is 117.8 kg. What is its density?
- 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?
- Cylinder's 83130
Calculate the cylinder's volume if you know that the ratio of the cylinder's height to the base's radius is 3:2 and the height is 15 dm.
- Dimensions 16913
The block's dimensions are in the ratio 16:12:8, and the sum of these dimensions is 240 decimetres. What are the dimensions of the block?
- Sphere radius
We reduce the radius of the sphere by 1/3 of the original radius. How much percent does the volume and surface of the sphere change?
- 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
- Container NDR
A cone-shaped container with a bottom diameter of 60 cm and a side length of 0.5 m is filled with water. We pour the water into a container with the face of a cylinder with a radius of 3dm and a height of 20cm. Will the cylinder overflow or not be complet
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