NAME: ________________________________________ SCHED: 2-3 MWF SCORE: ______/80

MATH 4A – MIDTERMS PROBLEM SET1. The base of a cylinder is a regular octagon inscribed in a square having dimensions of 18 cm x 18 cm. a. If the altitude of the cylinder is equal to 20 cm high, determine the volume of the cylinder in cubic meter.

b. If the cylinder is full of oil having a unit weight of 670 slugs/cubic meter, determine the weight in kgs.

2. A hole 10 cm in diameter is to be punched out from a right circular cone having a diameter of 16 cm. Determine the volume punched out if the height of the cone is 24 cm.

3. The radius of the base of a cone of revolution is 32 inches and its altitude is 54 inches. What is the altitude of a cylinder of the same volume whose diameter of the base is 48 inches.

4. A regular hexagonal pyramid has a slant height of 4 cm and the length of each side of the base is 6 cm. Find the lateral area.

5. The volume of a regular pyramid whose base is a square is 551.67 cu. m. If the altitude of the

pyramid is 16.55 m, find the slant height of the lateral sides.

6. The base of a regular pyramid is a regular hexagon, whose sides is 6 cm. If the altitude of the pyramid is 5 cm, what is the lateral area of the pyramid?

7. Two equilateral triangles with 12 cm. sides overlap each other with the overlapping area as

a hexagon. Compute the volume of the prism with an altitude of 20 cm. with the overlapping area as its base.

Teach me to do your will, for you are my God; may

your good Spirit lead me on