Diagonal + triangle - practice problems - page 19 of 21
Number of problems found: 401
- Height of pyramid
The pyramid ABCDV has edge lengths: AB = 4, AV = 7. What is its height?
- 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?
- A box
A box is 15 centimeters long, 4 centimeters wide, and 3 centimeters tall. What is the diagonal S of the bottom side? What is the length of the body diagonal R?
- Quadrangular prism
Calculate the volume and surface area of a regular quadrangular prism 35 cm high and the base diagonal 22 cm.
- Quadrilateral 82066
Calculate the volume of a regular quadrilateral pyramid with a square base of side a = 3 cm and side length b = 7 cm.
- Circumference 5487
Calculate the solid diagonal of a cube if you know that the circumference of one of its walls equals 39 centimeters.
- Centimeters 4091
Calculate the length of the body diagonal of a block whose two edges are 2 cm and 7 cm long and whose volume is equal to 49 cubic centimeters.
- Turning machine
What is the smallest diameter of the cylinder so that a square prism with a side of 40 cm can be turned from it?
- 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
- Cube - wall
V kocke ABCDEFGH je |CF|=4 √ 2. Aký je povrch kocky?
- 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?
- Surface and volume - cube
Find the surface and volume of a cube whose wall diagonal is 5 cm long.
- 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.
- Body diagonal - cube
Calculate the surface and cube volume with a body diagonal 15 cm long.
- Calculate 64654
Calculate the length of the wall and body diagonal in a cube with an edge of 60 cm.
- Rectangular 36111
Calculate if a rectangular image with dimensions of 33cm and 70cm fits in a suitcase with 65cm, 40cm, and 20cm. Make a sketch, and write it down as a word problem.
- Diagonals 7084
Calculate the lengths of the wall and body diagonals of the cube with an edge length of 10 cm.
- The block
The block has dimensions of 5 cm, 10 cm, and 15 cm. Calculate the size of the wall diagonals of this block.
- Task
I have homework. The cube's edge is 7 cm long, and I must find the diagonal between the wall and the body.
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