Math 6 and 6/7 Post Test Study Guide

Unit 7 Understanding Solid Figures

Identify the solid figure represented by each net.

1. ______2.______3.______4. ______

5. How are volume and surface area different measurements?

6. Compare and contrast a cylinder and a cone.

7. Sketch the front and top view of a cylinder.

Complete the table. Write the number of bases. Find the missing numbers by using the formula F + V = E + 2, where F is the number of faces, V is the number of vertices and E is the number of edges.

Polyhedron Name / Number of bases / Number of faces / Number of vertices / Number of edges
8. Rectangular pyramid / 5 / 5
9. Rectangular prism / 6 / 12

10.  If a cardboard gift box has the length of 4.5 m, width of 3 m, and is 3 m tall, what is the surface area of the cardboard?

11.  A round pool is 4 feet deep and 8 feet across. How much water would the pool hold?

12.  What is the surface area of the above pool’s liner (the liner does not include the top)?

13.  If a rectangular box has the dimensions of 4ft x 8ft x 6ft., how would its volume relate to the volume of a rectangular pyramid box with a base of 4ft x 8 ft. and a height of 6ft.?

14. If a toy box with the dimensions of 10 ½ ft, 6ft, and 4ft is reduced by taking 1ft off each dimension, what is the difference of the original volume and the new volume?

15. What is the surface area of the aluminum of a soft drink can with a diameter of 5cm. and a height of 11cm.?

16. How much liquid could the can above can contain?

17. How much ice cream could be packed into a cone that has a height of 5in. and a radius of 2in.?

18. A solid square pyramid has a volume of 90.75cm³. If the height is 10cm., what is a side length of the base?