Solid geometry, stereometry - page 36 of 123
Number of problems found: 2441
- Cube edge
What is the length of the edge of a cube with a volume of V = 1728 liters? - Cylinder twice
If the radius of the cylinder increases twice, and the height is reduced twice, then the volume of the cylinder increases (how many times?): - Cube volume edge
The cube with a volume of 216 l has an edge with the following: - Calculate 3
Calculate the cube volume whose edge is 3x-1,3x-1,3x-1 - Hemispherical dome
What is the coverage area of the painting of a hemispherical dome with a diameter of 8 m? - Cube edge
Calculate the edge size of a 48 liter cube. - The edge of a cube
How much does the edge of a cube of 54.9 cm³ measure? - Toy cubes
From children's wooden cubes in the shape of a prism with a square base (the side of the base is 4 cm long, the height of the prism is 8 cm) a fortress is built with towers made of two cubes on top of each other ending in pyramids with the same base as th - Quadrilateral pyramid
Calculate the volume of a regular quadrilateral pyramid, which has the size of the base edge a = 12 cm and a height of 11 cm. - Aquarium 20
Martin wanted to help his father build an aquarium. He read in the manual that it should have a volume of 45 litres. However, he did not have much space on the table; the base of the aquarium could be at most 25 cm by 40 cm. How tall does the aquarium nee - Costume
Denisa is preparing for a goldsmith's costume carnival. During the preparations, she thought she would let her hair wipe instead - she would apply a 5 μm thick layer of gold to each hair. How much gold would Denisa need? Assume that all hundred thousand D - An experiment
The three friends agreed to the experiment. At the same time, they all took out an empty cylindrical container on the windowsill and placed it so that it was horizontal. Everyone lives in a different village, and each uses a container with a different bot - Children pool
The bottom of the children's pool is a regular hexagon with a = 60 cm side. The distance between opposing sides is 104 cm, and the height of the pool is 45 cm. A) How many liters of water can fit into the pool? B) The pool is made of a double layer of pla - Isosceles triangle
Jan and her father were going to the tent. They found that their old tent was torn. Their mother suggested that they sew a tent with walls comprising six identical isosceles triangles. Their lower side is 2 m long, and the height to this side measures 2.5 - Aquarium The box-shaped aquarium is 40 cm high; the bottom has 70 cm and 50 cm dimensions. Simon wanted to create an exciting environment for the fish, so he fixed three pillars to the bottom. They all have the shape of a cuboid with a square base. The base edge o
- Carpet area
The carpet is wound on a cardboard roll in the shape of a cylinder with a diameter of d=12 cm and a length of l=2 m. The rolled-up carpet has an outer diameter of D=38 cm, and the thickness of the rug is 8 mm. What area can the carpet cover after unfoldin - Container painting area
Mr. Milo made a container for sorting waste from wood. The outside will be painted. There will be compartments for plastic and paper on the edges and for glass in the middle. How large areas will he paint with individual colors? The container has a cuboid - Cesspool pit excavation
The Horniakovs dug a pit for a cesspool in the shape of a cuboid with bottom dimensions of 40*40 dm and a depth of 350 cm. A) How many cubic meters of soil did they dig up? B) The excavated soil was evenly spread and pressed onto a rectangular area measur - A box 4
A box open at the top has a rectangular base of 200 mm x 300 mm and an altitude of 150 mm. If the base and the sides are 10 mm thick, find the box's total surface area. - Flower box
A wooden flower box in the shape of a cuboid has the following external dimensions: length 120 cm, width 15 cm, and height 20 cm. It is made of wooden boards 1.5 cm thick. a) What is the minimum area of boards needed to make it? Calculate based on the ext
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