The base of the straight prism is a rhombus. The diagonals of the prism are 10 and 6 cm, and the height is 6 cm.
| January 24, 2021 | education
The base of the straight prism is a rhombus. The diagonals of the prism are 10 and 6 cm, and the height is 6 cm. Calculate the lateral surface area of the prism.
Find the length of the side of the rhombus, the base of the prism. The diagonals of the rhombus intersect in the middle at right angles to form right-angled triangles.
10: 2 = 5 cm; 6: 2 = 3 cm.
√ (5² + 3²) = √ (25 + 9) = √34 cm.
The lateral surface area is equal to the area of four faces (four equal rectangles):
Area of one rectangle: √34 * 6 = 6√34 cm².
The lateral surface area is then equal to:
Side = 6√35 * 4 = 24√34 cm².
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
