A square pyramid has a base edge of 2 inches and a slant ... Work must be shown in order to receive credit! 22. ... is the probability that the card i...
REVIEW NAME_______________________________________DATE________________PER.______ REVIEW: AREA & VOLUME OF PYRAMIDS PART 1. PYRAMIDS & NETS Match each solid name with its corresponding net. ________1. Rectangular pyramid
A.
________2. Triangular pyramid
B.
________3. Pentagonal pyramid
C.
________4. Square pyramid
D.
Determine whether each statement is TRUE or FALSE. If FALSE, tell why. 5. TRUE
or
FALSE
The lateral edge of a pyramid is also its height.
or
FALSE
The lateral faces of a pyramid are congruent isosceles triangles.
or
FALSE
A pyramid that has exactly five faces and five vertices is a square pyramid.
Why?
6. TRUE Why?
7. TRUE Why?
REVIEW PG. 2 PART 2. AREA & VOLUME OF PYRAMIDS Find the indicated measure for each of the following. 8. LA = _______________
Find the Lateral Area: 9 in (h)
24 in 24 in
9. TA = _______________
Find the Total Area of the regular triangular pyramid.
12 m (h)
18 3 m
10. V = _______________
Find the Volume of the regular hexagonal pyramid.
10 cm (h)
4 cm
11. V = _______________
Find the Volume of the square pyramid.
3 2 yd (l)
6 yd 6 yd
REVIEW PG. 3 12. LA = _______________
Find the Lateral Area of the regular triangular pyramid. 7 m (l)
8 3 m
13. TA = _______________
Find the Total Area of the regular hexagonal pyramid.
18 ft (l)
6 ft
Find the indicated measures. 14. LA = _______________
The base edge of a regular hexagonal pyramid has a length of 10 cm. If its slant height has a measure of 12cm, find the Lateral Area.
15. V = _______________
A pyramid has a regular triangular base with sides measuring 12 3 cm. If the height of the pyramid is 10 cm, find its Volume.
REVIEW PG. 4 16. TA = _______________
A square pyramid has a base edge of 2 inches and a slant height of 5 in. Find its Total Area.
17. LA = _______________
A square pyramid has a base edge of 3 cm and a slant height of 6 cm. Find its Lateral Area.
PART 3. EFFECTS OF CHANGING DIMENSIONS ON AREA & VOLUME Find each of the following. 18. _______________
The volume of a rectangular pyramid is 152 in3. What would be its new volume if its dimensions were reduced to one-half their original length?
19. _______________
The volume of a triangular pyramid is 576. If the dimensions of the pyramid are reduced to one-fourth their original length, what will the new volume be?
PART 4. REVIEW Find the correct answer for each of the following. 20. A = ____________
Find the area of the square: 10 m
REVIEW PG. 5 21. TA = ____________
The base of a prism is a rectangle that is 8 cm long and 3 cm wide. If the prism has a height of 4 cm, what is its total area?
PART 5. TAKS Find the correct answer to each of the following. Clearly circle or bubble in your answer as necessary. Work must be shown in order to receive credit! 22. Mick’s Cab Service charges an initial fee of $2.00 plus $0.85 per mile for each cab ride. This is represented by the function f(m) = 2 + 0.85m, where m is the number of miles. Which of the following is the independent quantity? A. The initial fee for the cab ride
25. Fred has 212 coins, all of which are either quarters or dimes. The total value of the coins is $44.90. What is the value of all of the quarters? Record your answer and fill in the bubbles on the grid below. Be sure to use the correct place value.
B. The cost per mile
.
C. The number of miles
0 1 2 3 4 5 6 7 8 9
D. The total cost of the ride
23. What is the range of the quadratic parent function, y = x2? A. {y: y 0}
0 1 2 3 4 5 6 7 8 9
0 1 2 3 4 5 6 7 8 9
0 1 2 3 4 5 6 7 8 9
0 1 2 3 4 5 6 7 8 9
0 1 2 3 4 5 6 7 8 9
0 1 2 3 4 5 6 7 8 9
B. All real numbers C. {y: y > 0} D. All positive integers
24. Given the following information for three different lines, for which line do you need more information before you can write its equation? A. (-2, 9), m =
9 10
B. (0, 3), b = -7 C. x-intercept: - 2, y-intercept: 9 D. Enough information for all three lines
26. A deck of 52 cards has 4 jacks, 4 queens, and 4 kings. These are called face cards, and they are the only face cards in the deck. Kathy shuffles the cards and deals one card to Mel. What is the probability that the card is a face card? Round to the nearest thousandth. A. B. C. D.
