1103107006 Level: CLet ABCDEFA′B′C′D′E′F′ be a regular hexagonal prism with the base edge length of 4cm and the height of 46cm. Find the distance between the lines FA and C′D′ (see the picture).12cm83cm46cm10cm
1103107005 Level: CLet ABCDEFA′B′C′D′E′F′ be a regular hexagonal prism with the base edge length of 4cm and the height of 8cm. Find the angle between the plane ADD′ and the plane AEE′ (see the picture).30∘60∘45∘22.5∘
1103107004 Level: CLet ABCDEFA′B′C′D′E′F′ be a regular hexagonal prism with the base edge length of 4cm and the height of 8cm. Find the angle between the plane ABB′ and the plane AEE′ (see the picture).90∘60∘45∘72∘
1103107003 Level: CLet ABCDEFA′B′C′D′E′F′ be a regular hexagonal prism with the base edge length of 4cm and the height of 8cm. Find the angle between the lines A′D′ and CC′ (see the picture).90∘60∘45∘72∘
1103107002 Level: CLet ABCDEFA′B′C′D′E′F′ be a regular hexagonal prism with the base edge length of 4cm and the height of 8cm. Find the angle between the lines A′D′ and C′D′ (see the picture).60∘45∘72∘54.7∘
1103107001 Level: CLet ABCDEFA′B′C′D′E′F′ be a regular hexagonal prism with the base edge length of 4cm and the height of 8cm. Find the angle between the lines FC′ and CF′ (see the picture).90∘45∘60∘72∘
1103061408 Level: AThe rectangular box ABCDEFGH has sides of lengths |AB|=|BC|=6cm, |AE|=8cm. Find the angle between the planes ABC and AFH (see the picture). Round the result to two decimal places.62.06∘53.13∘45∘60∘
1103061407 Level: AThe rectangular box ABCDEFGH has sides of lengths |AB|=6cm, |BC|=4cm, |AE|=8cm. Find the angle between the lines CG and EC (see the picture). Round the result to two decimal places.42.03∘47.97∘45∘50.04∘
1103061406 Level: AThe rectangular box ABCDEFGH has sides of lengths |AB|=6cm, |BC|=4cm, |AE|=8cm. Find the angle between the planes ABC and EFC (see the picture). Round the result to two decimal places.63.43∘26.57∘45∘56.2∘
1103061405 Level: AThe rectangular box ABCDEFGH has sides of lengths |AB|=6cm, |BC|=4cm, |AE|=8cm. Find the angle between the lines AG and BH (see the picture). Round the result to two decimal places.67.71∘45∘37.08∘49.1∘