Diagonal + expression of a variable from the formula - practice problems - page 11 of 12
Number of problems found: 222
- 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.
- Calculate 82458
Calculate the volume of a cube with a wall diagonal of u = 20 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. - Block or cuboid
The wall diagonals of the block have sizes of √29cm, √34cm, and √13cm. Calculate the surface and volume of the block.
- Surface and volume - cube
Find the surface and volume of a cube whose wall diagonal is 5 cm long. - Cube into sphere
The cube has brushed a sphere as large as possible. Determine how much percent the waste was. - Body diagonal - cube
Calculate the surface and cube volume with a body diagonal 15 cm long. - 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.
- Surface area of cylinder
Determine the lateral surface of the rotary cylinder, which is a circumscribed cube with an edge length of 5 cm. - Calculate 40091
Calculate the size of the cube edge if the diagonal of the wall is 8 cm. - Centimeters 4081
Determine the wall and body diagonal of the cube, with the surface of one of its walls being 121 square centimeters. - Body diagonal
Calculate the volume and surface of the cube if the diagonal body measures ten dm. - Calculate
Calculate the length of the wall diagonal of the cube with an edge 5 cm long.
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