Regular prisms
Types of exercises: surface area and volume of a regular prism, cube - edge, diagonals, area and volume, angles in a regular prism.
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Compute the volume of the prism
A regular hexagonal prism has a base edge of 2 cm and a height of 2 cm.
Find the length of the space diagonal of the cube
A regular square prism has all its edges equal, so it is a cube. The total surface area of this cube is 216 cm².
Give the measure of the angle between the diagonal of the prism and the plane of the base
A regular square prism has a base edge of 6 cm and a height of 2√6 cm.
Compute the lateral surface area of the prism
A regular hexagonal prism has a base edge of 5 cm and a height of 15 cm.
Find the volume of the cube
A regular square prism has all its edges equal, so it is a cube. The total surface area of this cube is 384 cm².
Find the length of a base edge of the prism
The diagonal of a regular square prism is 16 cm long and makes an angle of 30° with the plane of the base.
Compute the lateral surface area of the prism
A regular square prism has a base edge of 2 cm and a height of 13 cm.
Find the length of a face diagonal of the cube
A regular square prism has all its edges equal, so it is a cube. The space diagonal of this cube is 18 cm.
Find the length of the diagonal of the prism
A regular square prism has a base edge of 6 cm, and its diagonal makes an angle of 30° with the plane of the base.
Compute the total surface area of the prism
A regular square prism has a base edge of 4 cm and a height of 9 cm.
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