Unit 9 Exam Review

Multiple Choice Identify the choice that best completes the statement or answers the question.

____ 1. This composite object is made using centimetre cubes. Determine its surface area.

a. 24 cm2 b. 20 cm2 c. 15 cm2 d. 18 cm2

____ 2. This composite object is made using centimetre cubes. Determine its surface area.

a. 21 cm2 b. 19 cm2 c. 22 cm2 d. 30 cm2

____ 3. This object is made from 7 centimetre cubes. Determine its surface area.

a. 30 cm2 b. 42 cm2 c. 26 cm2 d. 22 cm2

____ 4. This object is made from 14 centimetre cubes. Determine its surface area.

a. 34 cm2 b. 42 cm2 c. 40 cm2 d. 70 cm2

____ 5. This object is composed of two right triangular prisms and a right rectangular prism. Determine the surface area of the object.

18 cm

7 cm

8 cm

a. 298 cm2 b. 424 cm2 c. 568 cm2 d. 352 cm2

____ 6. A 4-cm cube is attached to the top of a right triangular prism as shown. Determine the surface area of the composite object, to the nearest square centimetre.

9 cm15 cm

5 cm

4 cm

a. 298 cm2 b. 352 cm2 c. 336 cm2 d. 368 cm2

Short Answer

7. This composite object is made using centimetre cubes. Determine its surface area.

8. This object is composed of a cube on top of a right rectangular prism.

Determine the surface area of the object.

30 cm15 cm

15 cm

10 cm

9. This object is composed of a right rectangular prism attached to the side of a larger right rectangular prism.

Determine the surface area of the object.

13 cm13 cm

11 cm

6 cm20 cm

10. Determine the surface area of this composite object, to the nearest square centimetre.

The cylinder has diameter 3 cm and height 4 cm. The prism has length 10 cm, width 9 cm, and height 9 cm.

10 cm9 cm

9 cm

4 cm

3 cm

11. This object is composed of three identical cylinders and a right rectangular prism.

Each cylinder has diameter 8 cm and height 5 cm. The rectangular prism has length 36 cm and square ends of side length 8 cm. Determine the surface area of the object, to the nearest square centimetre.

8 cm

8 cm

36 cm

8 cm

5 cm

Problem

12. A warehouse measures 60 m by 50 m by 20 m.

It has an open door that measures 15 m by 10 m on the front. A store room that measures 40 m by 25 m by 10 m is attached to one wall of the warehouse. Determine the total surface area of the warehouse building. Show your calculations.

60 m50 m

20 m

25 m

10 m

40 m

15 m

10 m

13. Two identical equilateral triangular prisms are joined by a cylinder as shown.

The equilateral triangle has side length 14 cm and the rectangular sides have length 5 cm. The cylinder has diameter 5 cm and length 9 cm. Determine the surface area of the composite object, to the nearest square centimetre. Show your work.

14 cm5 cm

9 cm