Midterm Exam Solida

Solid Mensuration Midterm Exam

Cone 1. A conical vessel one-meter diameter at the top and 60 cm high holds salt at a depth of 36 cm from the bottom. How many cubic centimeters of salt does it contain? Frustum of a regular Pyramid 2. A lateral edge of the frustum of a regular pyramid is 1.8 m long. The upper base is a square 1m by 1m and the lower base 2.4m by 2.4m square. Determine the volume of frustum in cubic meters. Frustum of a cone 3. The base areas of a frustum of a cone are 25 sq. cm. and 16 sq.cm., respectively. If its altitude is 60mm., find its volume. Pyramid 4. A regular hexagonal pyramid whose base diameter is 60 cm has an altitude of 30 cm. Find the volume of the pyramid? Similar Solids 5. A conical vessel has a height of 24 cm. and a base diameter of 12 cm. It holds water to a depth of 18 cm above its vertex. Find the volume of its content in cubic centimeter. Cylinder 6. A circular oak table top is 4ft in diameter and ¾ in thick. How heavy is it if oak weighs 47 lb. per cu. ft.?