Geometry - math word problems - page 148 of 157
Number of problems found: 3136
- Perpendicular 5865
We cut the cube with two mutually perpendicular cuts, each parallel to one of the cube's walls. By what percentage is the sum of the surfaces of all cuboids created in this way greater than the surface of the original cube?
- Equator 6020
The Equator. ..40075 km train. ..300m. How many trains would fit on the Equator?
- Eiffel Tower
The Eiffel Tower in Paris is 300 meters high and made of steel. It weighs 8,000 tons. If the tower model made of the same material weighs 1.8 kg, how tall is it?
- Meneal's 26771
Show (using Meneal's theorem) that the center of gravity divides the line in a 1:2 ratio.
- Circles
How many different circles are determined by 11 points at the plane if 7 of them lie in a straight line?
- Dice - 5 times
We roll the dice five times. Make sentences: a) 3 events that definitely cannot happen. Write a reason for each. b) 3 events that will definitely occur; write a reason for each. Another problem: 3 events that may or may not occur for each. Write a reason.
- Semicircle 82687
If the shell of a cone is a semicircle, then the diameter of the cone's base is equal to its side's length. Prove it.
- Quadrilateral 5277
Given a regular quadrilateral pyramid ABCDV, point M is inside its edge AV, and point N is on the long line DC beyond point C. Construct the intersection of the plane MNV with the plane BCV and the intersection of the line MN and the plane BCV.
- Through 82036
5 m³ of water flows through the pipe in 1 second at a maximum speed of 2 m/s. What is the pipe radius?
- Pillar
Calculate the volume of the pillar shape of a regular tetrahedral truncated pyramid if his square has sides a = 10, b = 19, and height is h = 28.
- Seawater
Seawater density is 1025 kg/m³, and ice is 920 kg/m³. Eight liters of seawater froze and created a cube. Calculate the size of the cube edge.
- Megapascals
What is the area of cross-section of the piston if the force of 300 kN produces a pressure of 5 MPa?
- Pipes
The water pipe has a cross-section 1184 cm². An hour has passed 743 m³ of water. How much water flows through the pipe with cross-section 300 cm² per 6 hours if water flows at the same speed?
- Shortest 81627
What is the shortest distance across the globe's surface on a scale of 1:1,000,000 from the equator to the North Pole?
- Perpendicular 3494
In axonometry, construct the projection of a perpendicular 4-sided pyramid with a square base ABCD in the plane. The base triangle gives the axonometry. We know the center of the base S, the point of the base A, and the height of the pyramid v.
- Triangle
Plane coordinates of vertices: K[19, -4] L[9, 13] M[-20, 8] give Triangle KLM. Calculate its area and its interior angles.
- Quadrilateral 71394
Sketch a grid of a quadrilateral prism with a rectangle of 1 cm x 3 cm and a height of 5 cm.
- Angle
A straight line p given by the equation y = (-8)/(6) x +78. Calculate the size of the angle in degrees between line p and y-axis.
- Shortest walk
An ant is crawling around this cube. The cube is made of wire. Each side of the cube is 3 inches long. (Those sides are called edges.) Points A and B are vertices of the cube. What is the least distance the ant would have to crawl if it starts from point
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