MATH 8: Unit 3 TEST STUDY GUIDE
1.
Note: Figure is not drawn to scale.
If h = 16 units and r = 7 units, then what is the approximate volume of the cone shown
above?
A.
B.
C.
D.
2.
Note: Figure not drawn to scale
If r = 6 units and h = 13 units, what is the volume of the cylinder shown above? Use 3.14 for
A. 1,469.52 cubic units
B. 602.88 cubic units
C. 678.24 cubic units
D. 715.92 cubic units
.
3.
Note: Figure is not drawn to scale
If the sphere shown above has a radius of 7 units, then what is the approximate volume
of the sphere?
A. 615.44 cubic
units
B. 718.01 cubic units
C. 1,436.03 cubic units
D. 1,795.03 cubic units
4. What is the perimeter of the isosceles triangle shown below? If necessary, round to the nearest hundredth.
A. 36 units
B. 22 units
C. 32 units
D. 24 units
5.
Note: Figure is not drawn to scale
If the sphere shown above has a radius of 18 units, then what is the approximate volume
of the sphere?
A. 12,208.32 cubic
units
B. 30,520.8 cubic units
C. 508.68 cubic units
D. 24,416.64 cubic units
6. Mrs. Bird set-up her kindergarten classroom so that there was a right triangular shaped reading area formed
by the bookshelves. As shown in the picture below.
If bookshelf A is 3 feet long and bookshelf B is 4 feet long, what is the length of bookshelf C?
A. 6 feet
B. 5 feet
C. 8 feet
D. 7 feet
7. What is the perimeter of the isosceles triangle shown below? If necessary, round to the
nearest hundredth.
A. 22
units
B. 27 units
C. 24 units
D. 32 units
8.
Note: Figure is not drawn to scale.
If h = 12 units and r = 5 units, then what is the volume of the cone shown above?
A.
B.
C.
D.
9. Raymond was riding a zip-cable from the top of a viewing post. The cable is 65 yards
long. The viewing post is 52 yards high and forms a right angle with the ground, as
shown in the picture below.
Given this information, how far is the bottom of the cable from the base of the viewing
post?
A. 26
yards
B. 39 yards
C. 52 yards
D. 78 yards
10. Two friends leave school at the same time, Sarah is heading due north and Beth is heading due east. One
hour later they are 5 miles apart. If Sarah had traveled 4 miles from the school, how many miles had Beth
traveled?
A. 2 miles
B. 4 miles
C. 3 miles
D. 1 mile
11.
Note: Figure is not drawn to scale.
If r = 9 units and x = 4 units, then what is the volume of the cylinder shown above?
A. 1,296
units
B. 234
C. 36
D. 324
cubic
cubic units
cubic units
cubic units
12.
Note: Figure not drawn to scale
If h = 9 units and r = 3 units, what is the volume of the cone shown above? Use 3.14 for
A. 28.26 cubic units
B. 254.34 cubic units
C. 150.72 cubic units
D. 84.78 cubic units
13. What is the length of the longest side of a triangle that has vertices at (-3, -2), (2, -2),
and (-3, -7)?
A.
B.
C.
D.
.