Diagonals of a prism
Types of exercises: space diagonal of a cuboid, prism from a lateral face diagonal, diagonals of a cube.
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Problem
Work out the space diagonal of a cuboid with edges 20 cm, 17 cm and 20 cm.
Problem
The base of a right prism is a rectangle with sides 10 cm and 12 cm. The diagonal of the lateral face whose edge is the base side of 10 cm is 26 cm long. What is the volume of this prism?
Problem
The diagonal of a face of a cube is 5√2 cm long. What is the surface area of this cube?
Problem
Work out the space diagonal of a cuboid with edges 9 cm, 18 cm and 6 cm.
Problem
A regular square prism has a base edge of 8 cm, and the diagonal of each lateral face is 17 cm long. What is the total surface area of this prism?
Problem
The space diagonal of a cube is 6√3 cm long. What is the surface area of this cube?
Problem
Work out the space diagonal of a cuboid with edges 18 cm, 14 cm and 21 cm.
Problem
A regular square prism has a height of 9 dm, and the diagonal of each lateral face is 15 dm long. What is the volume of this prism?
Problem
A cube has an edge of 10 cm. How long is the diagonal of a face of this cube?
Problem
Work out the space diagonal of a cuboid with edges 6 cm, 17 cm and 6 cm.
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