Geometry - math word problems - page 94 of 165
Number of problems found: 3289
- Pyramid height calculation
In a regular quadrilateral pyramid, the base edge a = 6 cm, and the side edge b = 10 cm. Calculate the height of the pyramid. - Cylinder surface calculation
The circle's diameter of the cylinder base is 6 cm, and its volume is 282.6 cm³. Calculate the cylinder surface. - Sum of the edges
The sum of the lengths of all cube edges is 72 cm. How many cm² of colored paper are we going to use for sticking? - Wall height
Calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height w = 20 cm. - Prism height calculation
How high does a prism with the dimensions of the base 1.7 dm and 5 dm reach if it fits 1032 dm³? - PVC pipe weight
Calculate the weight of a PVC pipe with an inner diameter d = 45 mm and a length l = 3 m if the wall thickness of the pipe is s = 7.5 mm. The density of PVC is ρ = 1350 kg/m³. - Cylinder Height from Area
The area of the cylinder shell is 307.72 cm2, and the diameter of the figure is 14 cm. Calculate its height to the nearest centimeter. - Cube diagonals
The cube has a wall area of 81 cm square. Calculate the length of its edge, wall, and space diagonal. - Regular prism
The regular four-sided prism has a base of 25 cm² and a surface of 210 cm². Find its volume. - Cylinder water
The cylinder has a base diameter of 0.8 m. The area of the base is equal to the area of the casing. How much water can be poured into the cylinder? - Cube measurements
Calculate the area of one cube wall and the wall diagonal of a cube if its volume equals 1728 cubic centimeters. - Quadrangular prism
Calculate the volume and surface area of a regular quadrilateral prism 35 cm high and the base diagonal 22 cm. - Block height
The block with a rectangular base measuring 18 cm and 11 cm has a surface of 1,556 cm². Calculate the height of the block. - 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. - 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-angle - Triangle side
The lengths of the sides of the triangle ABC are in the ratio 4:2:5. Calculate the size of the longest side of a similar KLM triangle, whose circumference is 66 cm. - The shadow
The shadow of a 1 m high pole thrown on a horizontal plane is 0.8 m long. At the same time, the shadow of a tree thrown on a horizontal plane is 6.4 m. Determine the height of the tree. - Triangle and Cone
A right triangle has legs 3 cm and 4 cm long. Cone A was created by rotating this triangle around the longer leg, and cone B by rotating it around the shorter leg. Which cone has: a) a larger volume? b) a smaller lateral surface area? c) a larger total su - 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. - Totem shed fitting
The boys wanted to store their hand-made totem 5.1 m high in the block-shaped shed, which measures 4 m, 3 m, and 2 m, for the winter. Will it fit in there at all?
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