Geometry - math word problems - page 67 of 154
Number of problems found: 3066
- Axial symmetry
Find the image A' of point A [1,2] in axial symmetry with the axis p: x = -1 + 3t, y = -2 + t (t = are real number) - A spherical segment
The aspherical section, whose axial section has an angle of j = 120° in the center of the sphere, is part of a sphere with a radius r = 10 cm. Calculate the cut surface. - Triangular prism
Calculate the surface of a triangular prism with the base of an equilateral triangle with a side length of 7.5 cm and a corresponding height of 6.5 cm. Prism height is 15cm. - Metal rails
Dad needs to improve the edges of the wooden boxes - to be reinforced with metal rails. How many cms of rails will he need if the box has the shape of a prism with the length of the edges 70cm, 70cm, and 120cm?
- Water flow 2
How many liters of water will flow in 7 minutes from a cylindrical pipe 1 cm in diameter if the water flows at a speed of 30 km per hour? - Triangular prism
The base of the perpendicular triangular prism is a right triangle with a leg length of 5 cm. The area of the largest sidewall of its surface is 130 cm², and the body's height is 10 cm. Calculate its volume. - The pot
The pot is in 1/3 filled with water. The bottom of the pot has an area of 329 cm². How many centimeters rise in water level in the pot after adding 1.2 liters of water? - Aquarium 28461
The aquarium has a bottom in the shape of a square a = 8 dm. How many liters of water flowed into it if its level rose by 10 cm? - Diameter 27703
The road roller has a diameter of 0.81 m and a width of 154 cm. How many m² of the road will it level when it turns 37 times?
- One-quarter 16853
How many m² of paper is needed to produce 1000 pieces of cube-shaped boxes with an edge of 8 cm when we must add one-quarter of the area to the joints? - Dimensions 6662
How many square meters of wallpaper do we need to glue the room walls with dimensions of 3 m and 4 m if the room's height is 2.5 m? - Quadrilateral 5047
How many liters of gasoline are in the tank in the shape of a quadrilateral prism with the base of a diamond with a side of 25 cm and a height of 15 cm? The gasoline reaches 4/5 of the tank height, and the tank height is 50 cm. - Hexagonal 3468
The box of a regular hexagonal prism is 4 cm high, and the lid has sides 20 cm long. How much cardboard is needed to make it? (No part is double) - Find x 2
Find x, y, and z such that x³+y³+z³=k for each k from 1 to 100. Write down the number of solutions.
- Volume and area
What is a cube's volume with an area of 361 cm²? - Gasoline tank cylindrical
What is the inner diameter of the tank, which is 8 m long and contains 40 cubic meters of gasoline? - Polygon 3
Polygon ABCD is dilated, rotated, and translated to form polygon QWER. The endpoints A and B are at (0, -7) and (8, 8), and the endpoints QW are at (6, -6) and (2, 1.5). What is the scale factor of the dilation? - Determine 82341
Determine the equation of the circle that is the set of all points of the plane that are twice as far from the point [3,7] as they are from the point [0,1]. - Triangle 69144
The line p passes through the center of gravity T of the triangle and is parallel to the line BC. What is the ratio of the area of the divided smaller part of the triangle by the line p? What is the area of the triangle?
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