Area of Triangle Problems - page 39 of 42
Number of problems found: 837
- Quadrilateral prism
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?
- Hexagonal pyramid
A regular hexagonal pyramid has dimensions: the length edge of the base a = 1.8 dm, and the height of the pyramid = 2.4 dm. Calculate the surface area and volume of a pyramid.
- Above Earth
To what height must a boy be raised above the earth to see one-fifth of its surface?
- Sails
We know the heights of sail, 220, 165, and 132. It has a triangular shape. What is the surface of the sail?
- Sphere cuts
At what distance from the center does the sphere intersect with the radius R = 46 plane if the cut area and area of the main sphere circle are in ratio 2/5?
- Cantilevers 81937
Calculate a prism's volume and surface area with a base of a right triangle with cantilevers of length 40 and 43 cm. The height of the prism is 60 cm.
- Calculate 82700
A cone of rotation with a radius of 32 cm and side length s = 65 cm is given. Calculate the surface area and volume.
- Triangular 28451
The surface of the triangular prism is 157.2 dm². Its shell has an area of 126 dm². What space will it occupy on a shelf placed on a pedestal?
- The quadrilateral pyramid
The quadrilateral pyramid has a rectangular base of 24 cm x 3.2dm and a body height of 0.4m. Calculate its volume and surface area.
- Calculate 6214
The cube A B C D A'B'C'D 'has a section area ACC'A' equal to 64 square root of 2 cm². Calculate the surface of the cube.
- Circumscribed hexa prism
The regular hexagonal prism is 2 cm high. The radius of the circle circumscribed by the base is 8 cm. Determine its volume and surface.
- Right prism
The base of the right prism is a right triangle with leg a = 5 cm and a hypotenuse c = 13 cm. The height of the prism is equal to the circumference of the base. Calculate the surface area and volume of the prism.
- Tetrahedral pyramid
Calculate the volume and surface area of a regular tetrahedral pyramid; its height is $b cm, and the length of the edges of the base is 6 cm.
- Perpendiculars 36213
A right triangle with perpendiculars a = 3 cm and b = 4 cm rotates around a longer perpendicular. Calculate the volume and surface area of the resulting cone.
- Calculate 8326
Calculate the cone shell with a base diameter of 40 cm and a cone height of 50 cm.
- Calculate pyramid
Calculate the volume of the pyramid, whose base edge a = 8 cm and the sidewall makes an angle α = 60° with the square base.
- Triangular prism
Calculate the volume and surface area of a triangular prism if it is given: a = 6.8 dm (a = base edge length) ha = 4 dm. (ha = base triangle height length) v = 23 dm (v = body height)
- 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.
- Triangular prism
Calculate the surface area and volume of a three-sided prism with a base of a right-angled triangle if its sides are a = 3 cm, b = 4 cm, c = 5 cm, and the height of the prism is v = 12 cm.
- Tetrahedral pyramid
What is the surface of a regular tetrahedral (four-sided) pyramid if the base edge a=16 and height v=16?
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