Geometry - math word problems - page 98 of 162
Number of problems found: 3234
- Calculate 19433
The circle's diameter of the cylinder base is 6 cm, and its volume is 282.6 cm³. Calculate the cylinder surface. - Determine 6376
There are 62.8 liters of water in the cylinder. The water level is 0.5 meters. Determine the bottom diameter. - 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 - Circumference of edges
The hexagon pyramid has a circumference of 120 cm, and the length of the side edge is 25 cm. Calculate its volume. - Dimensions 44551
The base of the needle is a rectangle with dimensions of 20 cm and 10 cm, its height is 15 cm. Will the plasticine we needed to model this pyramid be enough to model two pyramids with a square base of 10 x 10 cm and a height of 15 cm? - Increased 20383
We threw a prism with the base of a right triangle with squares 15 × 10 cm and a prism height of 1.5 dm into a 10 l bucket. How much has the volume in the bucket increased? - Measuring 2719
A butter cube with an edge 6.5 cm long is packed in a package measuring a = 28 cm, b = 15 cm. Calculate how many cm² the package is larger than the cube's surface. - Prism
Calculate the volume of the rhombic prism. The prism base is a rhombus whose one diagonal is 47 cm, and the edge of the base is 27 cm. The edge length and height of the base of the prism are 4:3. - Quadrilateral prism
A regular quadrilateral prism ABCDEFGH has a base edge A B 8 cm long and 6 cm high. Point M is the center of the edge AE. Determine the distance of point M from the BDH plane. - 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? - Reservoir - spherical
The reservoir is a sphere with a diameter of 12 m. If it is painted twice, how many kg of paint is needed to paint it, and one kilogram is enough to paint about 8m²? - Regular triangular prism
Calculate the surface area of the body of a regular triangular prism when the length of its base edge is 6.5 cm, and its height is 0.2 m. - Calculate diagonals
Calculate the length of the solid diagonals of a prism with a rhombus base if the sizes of the base diagonals are 16 cm and 20 cm and the height of the prism is 32 cm. Calculate the size of the base edge. - Triangular prism
The base perpendicular triangular prism is a right triangle whose hypotenuse measures 14 cm and one cathetus 9 cm. The height of the prism is equal to 2/9 of the base's perimeter. Calculate the surface area of the prism. - Tetrapack
How high should the milk box be in the shape of a prism with base dimensions 8 cm and 7.2 cm if its volume is 1 liter? - 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°? - Spherical sector
Calculate the volume and surface area of a spherical sector if the spherical segment that is part of the sector has a base radius r1 = 6 cm and a height v = 2 cm. - Quadrilateral pyramid
Construct a 3D model of a quadrilateral pyramid with a rectangle base and sides of isosceles triangles, with a volume of 80 cubic cm. I need to know the sides and the height. - Truncated cone
Find the volume and surface area of the truncated cone if r1 = 12 cm, r2 = 5 cm, and side s = 10 cm.
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