NEED ANSWER

SURFACE AREA AND VOLUME

1. Determine the missing numbers:

a. 1.5 ft3 = _____________ in3 b. 5 gal = ____________ in3

c. 35.6 ft3 = ___________ in3 d. 5600 hm3 = __________ m3

e. 1cm3 = ______________ m3 f. 450,000 m3 = __________ dm3

3. A rectangular box has dimensions 60cm, 30cm, and 3m.

a. Find the surface area of the box in square meters.

b. Find the volume of the box in cubic meters.

c. Find the volume of the box in liters.

4. David has a rectangular prism fish tank that holds 40 liters of water when filled to the top. If the base of the tank is 50 cm by 25 cm, what is the height of the tank?

5. Josie has picked out an all-purpose carpeting that costs $27.50 per square meter. What will it cost her to carpet a room from wall to wall if the dimensions are 360cm by 400cm?

6. A drugstore sells the same brand of talcum powder in two types of cylindrical cans. Can A has a diameter of 5.1 cm, a height of 9cm, and sells for $1.89. Can B has a diameter of 6.2 cm, and height of 11.18 cm, and sells for $3.29. Which can is the better buy?

7. A toy manufacturer wants to design a wooden square pyramid whose volume is 8000cm3.

a. Design such a pyramid. Make a sketch and show the dimensions of the base and the altitude.

b. How many such pyramids are possible? Why?

8. Give some examples of “real life” applications where calculating volume and surface area are necessary.

SYMMETRY

Take a walk around campus, or somewhere (!) and list as many things as you can that are symmetrical. List them in the appropriate categories and indicate what their line, rotation, or plane of symmetry is. Feel free to illustrate if you like!

LINE SYMMETRY:

ROTATIONAL SYMMETRY:

PLANE SYMMETRY: