Geometry - math word problems - page 109 of 162
Number of problems found: 3231
- Three-quarters of a tank
The oil tank is shaped like a cylinder with a height of 8 m and a diameter of 4 m. It is three-quarters full. How much oil is in it?
- Cube - wall
In the cube ABCDEFGH, |CF|=4 √ 2. What is the surface area of the cube?
- Coordinates of midpoint
If the midpoint of the segment is (6,3) and the other end is (8,4), what is the coordinate of the other end?
- Sugar - cuboid
Pablo received from his master a cuboid composed of identical sugar cubes, each weighing between 1000 and 2000. The Pejko eat sugar cubes in layers. On the first day, eat one layer from the front. On the second day, one layer is from the right, and on the
- Balls
Ping-pong balls have a diameter of approximately 4 cm. It is sold in boxes of 9 pieces: each box has a cuboid shape with a square base. The balls touch the walls of the box. Calculate what portion of the internal volume of the box is filled with balls.
- Body diagonal
Cuboid with base 7cm x 3,9cm and body diagonal 9cm long. Find the height of the cuboid and the length of the diagonal of the base,
- Trapezoid 83
Trapezoid ABCD is composed of five triangles. Points E, and G divide segment AB in the ratio 2:4:3 (in this order) into three segments. Point F is the midpoint of segment AD. Triangle AEF is isosceles and right-angled. Triangles GBC and CDG are right-angl
- 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?
- Similarity
Are two right triangles similar if the first one has an acute angle 60° and the second one has an acute angle 30°?
- Calculate 38701
Calculate the surface and volume of the cut rotating cone with base radii of 14cm and 8cm height of 11cm.
- 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].
- Dimensions 82592
The box has dimensions of 30 cm, 40 cm, and 120 cm. Will a 128 cm long wand fit in it?
- Sphere diameter
The sphere has a diameter of 70 cm. Calculate its surface area and volume.
- Octahedron in a cube
What largest octahedron can we place inside a cubical box with sides equal to 72?
- Surface 67004
A block with a square base with an edge length of 4 dm has a surface area of 112 dm square. Find its height.
- Quadrilateral 41061
A quadrilateral pyramid has a square base 4 cm long, the height of the pyramid 5 cm, and the height of the wall 5.4 cm. Find the surface and volume of a quadrilateral pyramid.
- 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?
- Prism - right isosceles
Find the volume and surface of a prism with a height of 120 mm. Its base is a right isosceles triangle with a leg length of 5 cm.
- The cube
The surface of the cube is 150 square centimeters. Calculate: a- the area of its walls b - the length of its edges c - its volume
- Circumference 4246
In the ABC triangle, we connected the centers of the sides, creating a smaller triangle with a circumference of 14 centimeters. What is the perimeter of triangle ABC?
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