Area and Prism

MATH 005 QUIZ#2
DEADLINE: JANUARY 27, 2014, MONDAY; 9:30 AM AT THE MATH & PHYSICS DEPARTMENT. I WILL
PROVIDE AN ENVELOPE AT THE BULLETIN BOARD. LATE PAPERS WILL NOT BE ACCEPTED.
SOLVE ALL PROBLEMS ON SHORT BOND PAPER. SHOW ALL NECESSARY SOLUTIONS AND BOX ALL FINAL
ANSWERS. ERASURES ARE NOT ALLOWED. ALL PAGES SHOULD BE PROPERLY STAPLED.
1. Are the two rectangular prisms similar? If so, give the similarity ratio.

2. The lateral areas of two similar paint cans are 1019 cm2 and 425 cm2. The volume of the small can is 1157 cm3. Find the volume of the large can.
3. The volumes of two similar solids are 128 m3 and 250 m3.The surface area of the larger solid is 250 m2.
What is the surface area of the smaller solid?
4. Triangular Prism X and triangular Prism Y are similar. The ratio of corresponding dimensions of Prism
X to Prism Y is 3:4. Use this information for problem a–d.
a. If the length of a side of Prism X is 9 feet, what is the length of the corresponding side of Prism
Y?
b. If Prism X has a surface area of 88.8 feet2, what is the surface area of Prism Y?
c. If the volume of Prism X is 35.1 feet3, what is the volume of Prism Y?
d. The height of the triangular base of Prism Y is 3.5 feet. Find the height of the triangular base of
Prism X.
5. There are 750 toothpicks in a regular-sized box. If a jumbo box is made by doubling all the dimensions of the regular-sized box, how many toothpicks will the jumbo box hold?
6. A cylinder 4 in. in diameter and 6 in. high holds 1 lb of oatmeal. To the nearest ounce, how much oatmeal will a similar 10-in.-high cylinder hold?
7. A regular pentagonal solid prism has 9-cm base edges. A larger, similar solid prism of the same material has 36-cm base edges. How does each indicated measurement for the larger prism compare to the same measurement for the smaller prism?
a. the volume
b. the weight
8. Is there a value of x for which the rectangular prisms below are similar?

9. A carpenter is making a blanket chest based on an antique chest. Both chests have the shape of a rectangular prism.The length, width, and height of the new chest will all be 4 in. greater than the respective dimensions of the antique.Will the chests be similar? Explain.
10. Copy and complete the table for the similar solids.
NOTE: Similarity Ratio pertains to the ratio of two corresponding sides/dimensions.