Geometry - math word problems - page 86 of 162
Number of problems found: 3232
- Quadrilateral 8221
Calculate the height and surface of a regular quadrilateral pyramid with a base edge a = 8 cm and a wall height w = 10 cm. - Cube diagonals
The cube has a wall area of 81 cm square. Calculate the length of its edge, wall, and body diagonal. - Calculate 6207
The cuboid with a base measuring 17 cm and 13 cm has a surface of 1342 cm². Calculate the height of the cuboid and sketch its network. - Perpendicular 5424
A regular perpendicular quadrilateral prism with a base edge of 10 cm has a volume of 10 dm³. What is the height of this prism? - Quadrilateral 8304
The base of the quadrilateral prism is a diamond with diagonals of 7 and 9 cm. The height of the prism is 22 cm. What is the area? - Vertical rod
The vertical one-meter-long rod casts a shadow 150 cm long. Calculate the height of a column whose shadow is 36 m long simultaneously. - Diagonal intersect
Isosceles trapezoid ABCD with length bases | AB | = 6 cm, CD | = 4 cm is divided into four triangles by the diagonals intersecting at point S. How much of the area of the trapezoid are ABS and CDS triangles?
- Dimensions: 27511
Calculate the surface of the paper cylinder (without lid), which has the following dimensions: bottom radius: 7 cm, cylinder height: 22 cm. - The edge of a cube
How much does the edge of a cube of 54.9 cm³ measure? - Two balls
Two balls, one 8cm in radius and the other 6cm in radius, are placed in a cylindrical plastic container 10cm in radius. Find the volume of water necessary to cover them. - Circumferential angle
Vertices of the triangle ΔABC lay on the circle and are divided into arcs in the ratio 10:8:7. Determine the size of the angles of the triangle ΔABC. - Similarity 26441
How long a shadow casts a building 15 m high if the shadow of a meter rod is 90 cm? Sketch - similarity. - Regular quadrilateral pyramid
Find the surface area of a regular quadrilateral pyramid if for its volume V and body height v and the base edge, a applies: V = 2.8 m³, v = 2.1 m - Quadrangular pyramid
The regular quadrangular pyramid has a base length of 6 cm and a side edge length of 9 centimeters. Calculate its volume and surface area. - A regular
A regular triangular prism with a base edge of 20 dm and a height of 30 dm is drawn. Find the volume of the prism and the area of the shell.
- Cube edges
Find the cube edge length (in centimeters) that has a surface and volume expressed by the same numeric value. Draw this cube in a ratio of 1:2. - Cube wall The perimeter of one cube wall is 120 meters. Calculate the surface area and the body diagonal of this cube.
- Quadrangular prism
The quadrangular prism has a volume of 648 cm³. The trapezoid, which is its base, has the dimensions a = 10 cm, c = 5, and height v = 6 cm. What is the height of the prism? - Stadium
A domed stadium is shaped like a spherical segment with a base radius of 150 m. The dome must contain a volume of 3500000 m³. Determine the dome's height at its center to the nearest tenth of a meter. - 3sides prism
The base of a vertical prism is an isosceles triangle whose base is 10 cm, and the arm is 13 cm long. The prism height is three times the height of the base triangle. Calculate the surface area of the prism.
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