Properties and constructions: แบบฝึกหัด

How many vertices does a triangular prism have?

In a circle with center \( O \), points \( A \) and \( B \) lie on the circumference. If the angle \( \angle AOB = 110^\circ \), what is the size of the angle \( \angle ACB \), where \( C \) is a point on the major arc \( AB \)?

Two mathematically similar solid cones have heights of \( 5 \text{ cm} \) and \( 10 \text{ cm} \). If the volume of the smaller cone is \( 20 \text{ cm}^3 \), what is the volume of the larger cone?

In a geometric diagram, line \(L_1\) is parallel to line \(L_2\). A transversal line \(T\) intersects both. If a pair of corresponding angles are identified, and one angle measures \(72^\circ\), what is the size of the other angle?

What is the sum of the interior angles of a regular hexagon?

Calculate the sum of the interior angles of a regular pentagon.