Name:
Date:
Geometry: Chapter 11 Review
1. Find the exact volume of each figure.
b) A regular hexagonal prism whose
height is 8m and whose base has a side
length of 4m.
2 cm
1 cm
2 cm
3 cm
1 cm
1 cm
4 cm
2q)
2. Find the exact volume of these figures.
4 in
v
Pcsm-
u\
i)(
2)
+.
(iDL
Tr
1 The ratio of the volumes of two spheres is 128:250. The surface area of the smaller sphere is
2567-t- cm2. Find the length of the diameter of the larger sphere.
V aq
Z5-1)
12S
4. Find the volume of half the figure below if it were sliced vertically down its center.
(A)
12ft
qlo -t•
))2_
T. Given a sphere with a volume of
500
3 77- yd3,
find its surface area.
5 II— 'nf
r3
12
—
6.
Two similar solids have surface areas of 72 ft' and 98 ft'. If the larger figure has a volume of 686
ft3, what is the volume of the smaller figure?
Lig
10. Find the volume of the prism.
—
OA-
11. Find the surface area and the volume.
SA
=
2-nr 22 a bi-+ cTi(0 272o ))L0R.
}MS
12. A pyramid sits snuggly inside a cube with a volume of 216cm3.
What is the pyramid's volume? Wliat i§_the pramiSs surfate/arefa
4
V
):Ain
p
1-KQ
-t-Kk
fr
13. Find the volume of a sphere whose surface area is 144g.
vor
30- rl
voluryuL
Voiut +VASQvvQ..
)
V 71c,o(C)
(.5P
61,r-co,
0'
Chapter 11 Review Continued
7. Find the volume of the cylinder.
8. Find the total volume.
Vuvrc A- C),)
ittcyv
) + ri'61-(Pit
3Ornm
w(9-2-(1
0 •
120(
20
1
9. Find the value of the variable, given the pyramid has a volume of 126 ft'.
BK,
121s/
3
BOW
2_ UK"