Solid geometry, stereometry - page 99 of 123
Number of problems found: 2442
- Cardboard box
We want to make an open-top cardboard box in the shape of a quadrilateral prism with a rhombus-shaped base. The rhombus has a side of 5 cm and one diagonal of 8 cm. The height of the box is 12 cm. How many square centimetres of cardboard are needed if ove - Prism pyramid ratio
For the volumes of a perpendicular prism and a pyramid with the same base and height: A) the volumes are equal B) the volume of a pyramid is three times smaller than the volume of a prism C) the ratio of the volumes of the prism and the pyramid is 1:3 D) - Surface area 2
Calculate how many % reduce the surface area of the cube is reduced the length of each edge by 10%. - Sewerage
A heavy rain came onto a football pitch with dimensions 110 m x 70 m and during 15 minutes water fell to a height of 80 mm on each m². The pitch is constructed so that it is drained and water can flow away through 4 channels, each with an internal cross-s - 2x cone
A circular cone of height 36 cm is cut by a plane parallel to the base, dividing it into two smaller cones of equal volume. Calculate the height of the smaller cone. - Air bubble
The air bubble at the bottom of the lake at a depth of h = 21 m has a radius of r1 = 1 cm at a temperature of t1 = 4 °C. The bubble rises slowly to the surface, and its volume increases. Calculate its radius when it reaches the lake's surface, with a temp - Equilateral cone
We pour so much water into a container with the shape of an equilateral cone, the base of which has a radius r = 6 cm, that one-third of the volume of the cone is filled. How high will the water reach if we turn the cone upside down? - Cube
One cube has an edge increased five times. How many times will larger its surface area and volume? - Original model
When drying, the modeling mass loses 36% of its original volume. If the cube's volume is 5.12 dm³ after drying, what was the original length of the edge? - Cube wall coloring
We color a wooden cube with an edge length of 3 cm so that three walls are blue, three are red, and no two opposite walls are the same color. Cut the cube into 1 cm³ cubes. How many cats will have at least one red wall and at least one blue wall? - Reduce of the volume Calculate how many % reduce the volume of the cube is reduced the length of each edge by 10%.
- Percentage + sphere
A sphere G is inscribed in the cube K with the length a. A cube K1 is inscribed in sphere G. What percentage of the volume of cube K is made up of the volume of cube K1? - Hole
A hole with dimensions 2.7 m × 20 m × 15.8 m is filled with 282 m³ of soil. What percentage of the hole is filled? - Cube Edge from Volume
Find the length of the cube's edge and its volume is equal to 60% of the volume of a block measuring 7 cm, 8 cm, and 6 cm. - Cube edge
Determine the length of the cube's edge, the volume of which is equal to 60% of the volume of a block measuring 7cm, 8cm, and 6cm. - Cross-sections of a cone
Cone with base radius 15 cm and height 20 cm divided by parallel planes to base into three bodies. The planes divide the height of the cone into three equal parts. Determine the volume ratio of the maximum and minimum of the resulting body. - Cellar pump drainage
The cellar, which has a floor area of 50 m² and is 3 m below ambient level, was flooded with water to a height of 80 cm. How long does it take for a pump with a power input of 1 kW and an efficiency of 75% (η = 0.75) to drain the water? - Painting
The room is 50 meters long, wide 60 dm, and 300 cm high. Calculate how much it will cost to paint if the area of windows and doors is 15% of the total area. One square meter costs 50 cents. - Cuboid and ratio
A cuboid has a volume of 810 cm³. The lengths of edges from the same vertex are in a ratio of 2:3:5. Find the dimensions of a cuboid. - Cuboid
How many times will the volume of a cuboid increase if one dimension is twice larger, the second dimension three times larger, and the third dimension four times lower?
Do you have unsolved math question and you need help? Ask a question, and we will try to solve it. We solve math question.
