Geometry/TrigName: ______________________________Date: _______________________________

Lesson 11-2: Final Exam Review 2

[Unit 2: Surface Area and Volume]

1. What is the volume of the following triangular prism?

2. Find the lateral surface area to the nearest square cm.

3. Find the total surface area of the three-dimensional figure. Leave your answer in terms of pi.

4. Find the surface area of the sphere. Round your answer to the nearest whole number.

PRACTICE

Geometry/Trig5. What is the surface area of the following figure:

6. A can of Campbell’s chicken noodle soup is shown. The label only covers the curved surface of the can. The diameter is 13cm and the height is 10cm. What is the area of the soup label rounded to the nearest square centimeter.

7. The rectangular prism shown below has a length of 2 cm, a width of 5 cm, and a height of 8 cm.

What is the total surface area?

Geometry/Trig9. You have a traffic cone, as depicted on the right. The diameter of the circular base is 16 inches(a) How much rubber is needed to create the cone-shaped portion of this traffic cone, to the nearest 10th of an inch?

(b) Suppose you wanted to fill this cone with rocks, how much space is there inside ofthe cone? Round your answer to the nearest 100th.

(c) If each rock takes up 2in3 of space, how many rocks could that cone hold? (use your rounded answer above)

10.The Miller's want to heat their house from top to bottom. The house is made up of a triangular prism and a rectangular prism. Find the total volume of the house that will be heated to the nearest cubic foot.

10 in6 in

Geometry/Trig11. What is the volume of the following triangular prism?

12. The following cylinder to the right has a volume of 202.5π cm3. Find the height of the cylinder.

13.The dimensions of a new tree house are shown below.

How many cubic meters of space will the tree house contain?

Geometry/Trig14. a. Find the volume of the figure in terms of Pi.

b. Find the surface area of the figure to the right in terms of Pi.

15. Beth got a new bottle for her homemade salad dressing. How much salad dressing to the nearest hundredth of an inch can she fit in the bottle if she fills it to the top?

Sketch and label the two figures that make up the composite figure to the right:

Geometry/Trig16. Find the volume of the composite solid. The diameter of the cylinder is 4in. Round all answers to the

nearest tenth of a cubic unit.

17. Mr. Gino made a cylindrical pencil holder without a top. It has a height of 5 in and a diameter of 3 in. How much material does he need to make his pencil holder? Round your answer to the nearest square inch.