Geometry - math word problems - page 84 of 162

Number of problems found: 3234

Bottom diameter
Milan poured 2 dl of fruit juice into a cylindrical glass with a base diameter of 6 cm. How high did the juice level in the glass reach?
Truncated pyramid
The truncated regular quadrilateral pyramid has a volume of 74 cm³, a height v = 6 cm, and an area of the lower base 15 cm² greater than the upper base's area. Calculate the area of the upper base.
Cone - from volume surface area
The volume of the rotating cone is 1,018.87 dm³, and its height is 120 cm. What is the surface area of the cone?
Edge c
Find the edge c of the cuboid if an edge a = 20 mm, b = 30 mm and surface area S = 8000 mm².
Tetrahedral pyramid
A regular tetrahedral pyramid is given. Base edge length a = 6.5 cm, side edge s = 7.5 cm. Calculate the volume and the area of its face (side area).
Wall diagonal
Calculate the length of the wall diagonal of the cube, whose surface is 384 cm square.
Cube diagonals
If you know the length of the body diagonal u = 216 cm, determine the cube's volume and surface area.
The cylinder base
The cylinder with a base of 8 dm² has a volume of 120 liters. From a cylinder filled with water, 40 liters of water were removed. At what height from the bottom /with precision to dm/ is the water level?
The pipeline
How long is the pipe with an outside diameter of 1.4 m if his coloring consumed 35 kg of color? 1 kg of color coverage is 9 m².
Concrete columns
How much concrete is needed to pour 8 concrete columns with a square base: a = 38 cm, the height of the columns being 6.2 m? Each column has a cylindrical cavity with a diameter of 15 cm.
Volume of the cone
Calculate the cone's volume if its base area is 78.5 cm² and the shell area is 219.8 cm².
Circumference 30761
There is 0.3 dl of strawberry ice cream in the cone-shaped ice cream cone. Calculate the depth of the cornet if its circumference is 5.6 cm.
Diamond base
The prism with a diamond base has 24 cm and 20 cm long base diagonals. Calculate the height of a prism with a volume of 9.6 dm³ (cubic decimetres)
Shadow 73354
How long is the shadow of a tree 7.6 m high, and the shadow of a 190 cm high road sign is 3.3 m long?
Two-meter 3473
A tree with an unknown height casts a shadow 18 m long at a time, while a two-meter pole casts a shadow of 2.4 m. How tall is the tree?
Triangular pyramid
The regular triangular pyramid ABCDV has a base edge length of 8 cm and a height of 7 cm. Calculate the pyramid's surface area and volume.
Pyramid roof
3/5 of the area of the roof-shaped regular tetrahedral pyramid with base edge 9 m and height of 6 m is already covered with roofing. How many square meters still need to be covered?
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?
Circle described
The circle radius described in the right triangle with a 6 cm long leg is 5 cm. Calculate the circumference of this triangle.
Calculate: 64984
The ABCDEFGH cube (sketch it) has a debt edge of 5 cm. Calculate: a) ABFE wall area b) Area of the ADHE wall c) the surface of the cube d) Cube volume

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