Geometry - math word problems - page 105 of 162
Number of problems found: 3232
- Prism - eq triangle
Calculate the volume and surface of the prism with the base of an equilateral triangle with side a = 4cm, and the body height is 6cm.
- Tetrahedral pyramid
What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=16 and height v=16?
- Triangular prism
The triangular prism has a base in the shape of a right triangle, the legs of which are 9 cm and 40 cm long. The height of the prism is 20 cm. What is its volume cm³? And the surface cm²?
- Prism and wall diagonal
The ABCDA'B'C'D' prism has a square base. The wall diagonal of the AC base is 9.9 cm long, and the body diagonal AC' is 11.4 cm long. Calculate the surface area and volume of the prism.
- Quadrilateral 21523
Calculate the surface area and volume of a regular quadrilateral pyramid if the edge of the lower base is 18 cm and the edge of the upper base is 15 cm. The wall height is 9 cm.
- Contain 7986
The pool is 30 m long, 12 m wide, and 2 m deep. Can it contain 7,000 hl of water? If so, what is the level? If not, how much extra water is there?
- Calculate cylinder
In the rotating cylinder, it is given: V = 120 cm3, v = 4 cm. Calculate r, S mantle.
- Triangular 24091
A regular triangular prism with a base edge of 35 cm has a volume of 22.28 l. Calculate its height.
- Cylinder 80733
How tall is a cylinder whose shell has a volume equal to the base? What is the volume of this cylinder?
- Diagonals 7084
Calculate the lengths of the wall and body diagonals of the cube with an edge length of 10 cm.
- Cross-section 47131
The 5 m long bar has a cross-section of an equilateral triangle with a side of 35 mm. Calculate its volume
- Perpendicular 3482
The lengths of the base legs are 7.2 cm and 4.7 cm, and the height of the prism is 24 cm. Calculate the volume and surface of a triangular perpendicular prism with the base of a right triangle.
- Trapezoidal 4031
The aquarium has the shape of a prism with a trapezoidal base. The length of the basic trapezoid is 60 cm and 80 cm, and the height of the trapezoid is 70 cm. The aquarium holds 196 liters of water. How tall is the aquarium?
- Calculate 66254
Calculate the volume and surface of a regular hexagonal prism with a height v = 2cm and a base edge a = 8cm.
- Difference 64924
We get a block if we stack two cubes with an edge of 1dm. What is the difference between the surfaces of this block and the cube?
- 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.
- The block
The block has dimensions of 5 cm, 10 cm, and 15 cm. Calculate the size of the wall diagonals of this block.
- Edge of prism
The regular quadrilateral prism has a surface of 250 dm². Its shell has an area of 200 dm². Calculate its leading edge.
- Tetrahedron
What is the angle of the sides from the base of a three-sided pyramid where the sides are identical?
- Midpoint of line segment
Find the midpoint of the line segment joining the points (10,1) and (-8,-1).
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