Diagonal - math word problems - page 25 of 28
Number of problems found: 544
- Surface and volume - cube
Find the surface and volume of a cube whose wall diagonal is 5 cm long.
- Inscribed circle
A circle is inscribed at the bottom wall of the cube with an edge (a = 1). What is the radius of the spherical surface that contains this circle and one of the vertex of the top cube base?
- Body diagonal
Calculate the volume and surface of the cube if the diagonal body measures ten dm.
- Cuboid - volume, diagonals
The length of the one base edge of cuboid a is 3 cm. The body diagonal is ut=13 cm, and the diagonal of the cuboid's base is u1=5 cm. What is the volume of the cuboid?
- Surrounded 8283
The cube has an edge length of 5 cm. This cube surrounds a rotating cylinder. Find the surface area of the shell and the volume of the cylinder.
- Measures 23791
The volume of the block is 144 cm³. The base measures 3 cm and 4 cm. How big is the body diagonal?
- Space diagonal
The space diagonal of a cube is 129.91 mm. Find the lateral area, surface area, and volume of the cube.
- Height of pyramid
The pyramid ABCDV has edge lengths: AB = 4, AV = 7. What is its height?
- Body diagonal
Calculate the surface area, volume, and length of the body diagonal of a cube with an edge length of 4 dm.
- Sphere vs cube
How much % of the surface of a sphere of radius 12 cm is the surface of a cube inscribed in this sphere?
- Cube
Calculate the cube ABCDA'B'C'D's surface if the area of rectangle ACC'A' = 344 mm².
- 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.
- Dimensions 3950
Calculate the solid diagonal of a block whose dimensions are: a = 3cm, b = 5, c = 7cm. Find its volume as well.
- Axial section
The diagonal of the axial section of the rotating cylinder is 6 cm, and its surface is 30 cm square. Calculate the radius of the base.
- Cuboidal room
The length of the cuboidal room is 2m the breadth of the cuboidal room is 3m and height is 6m find the length of the longest rod that can be fitted in the room
- Wall diagonal
Calculate the length of the wall diagonal of the cube, whose surface is 384 cm square.
- Prism
A right prism's length, width, and height are 17, 11, and 11, respectively. What is the length of the longest segment whose endpoints are vertices of the prism?
- Resulting 4446
A square with a side length of 3 cm rotates around its diagonal. Calculate the volume and surface area of the resulting body.
- Centimeters 4081
Determine the wall and body diagonal of the cube, with the surface of one of its walls being 121 square centimeters.
- Wall and body diagonals
The block/cuboid has dimensions a = 4cm, b = 3cm, and c = 12cm. Calculate the length of the wall and body diagonals.
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