Pythagorean theorem - math word problems - page 67 of 73
Number of problems found: 1446
- Millimeter 81160
Calculate the length of the side of the cone; they rounded the result to tenths of a millimeter. If you know: radius 24 mm and height 46 mm
- Dimensions 48161
A block with dimensions a = 15cm b = 5cm and a block height c = 8cm. Calculate the length of the wall diagonal in the base.
- Right-angled triangle base
Find the volume and surface area of a triangular prism with a right-angled triangle base if the length of the prism base legs are 7.2 cm and 4.7 cm and the height of the prism is 24 cm.
- Tetrahedron 46451
Calculate the surface of a regular tetrahedron if the length of the wall height v = 1 dm.
- Centimeters 5533
Calculate the area of one cube wall and the wall diagonal of a cube if its volume equals 1728 cubic centimeters.
- Circumference 3370
Calculate the surface and volume of the rotating cone, whose base circumference is 125.6 cm and the side is 25 cm long.
- Calculate
A rotating cone has a diameter of 16 cm and a side of 10 cm. Calculate the surface area and volume of the solid.
- Hexagonal pyramid
Find the volume of a regular hexagonal pyramid, the base edge 12 cm long and the side edge 20 cm.
- Quadrilateral pyramid
Calculate the surface of a quadrilateral pyramid with a rectangular base, dimensions a = 8 cm, b = 6 cm, and height H = 10 cm.
- Spherical cap
The spherical cap has a base radius of 8 cm and a height of 5 cm. Calculate the radius of a sphere of which this spherical cap is cut.
- Height of the cuboid
Cuboid with a rectangular base, measuring 3 cm and 4 cm diagonal, has a body 13 centimeters long. What is the height of the cuboid?
- Regular hexagonal pyramid
Calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height of w = 20cm. Sketch a picture.
- Hexagon
Calculate the surface area of the regular hexagonal prism, whose base edge a = 12cm and side edge b = 3 dm.
- The plaster cast
The plaster cast has the shape of a regular quadrilateral pyramid. The cover consists of four equilateral triangles with a 5 m side. Calculate its volume and surface area.
- Cube diagonals
Calculate the length of the side and the diagonals of the cube with a volume of 27 cm³.
- Sphere equation
Obtain the equation of a sphere. Its center is on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1).
- Cuboid easy
The cuboid has the dimensions a = 12 cm, b = 9 cm, c = 36 cm. Calculate the length of the body diagonal of the cuboid.
- Cut and cone
Calculate the volume of the rotation cone whose lateral surface is a circular arc with radius 15 cm and central angle 63 degrees.
- Axial section
The axial section of the cone is an equilateral triangle with an area 208 km². Calculate the volume of the cone.
- Calculate 82073
Calculate a cone's volume and surface area with base diameter d = 22 cm and body height v = 40 cm.
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