Name: ___________________________________________________ Period: __________ Group: _______
7th Grade
Unit 8B Review
VOLUME
Follow along with me as I work through the unshaded questions.
Then solve the shaded questions on your own. Bring your paper to me for a stamp!
①
A company sells beads in boxes in the shape of a triangular pyramid. Each box contains
240 cubic centimeters of beads. If the height of the box is 20 cm, which of the following
could be the dimensions of the base?
A.
B.
C.
D.
❶
base = 6 cm; height = 2 cm
base = 6 cm; height = 6 cm
base = 6 cm; height = 12 cm
base = 20 cm; height = 12 cm
A company sells confetti in boxes in the shape of a triangular pyramid. Each box
contains 360 cubic centimeters of confetti. If the height of the box is 15 cm, which of the
following could be the dimensions of the base?
A.
B.
C.
D.
base = 8 cm; height = 9 cm
base = 24 cm; height = 15 cm
base = 8 cm; height = 6 cm
base = 8 cm; height = 18 cm
③
A rectangular prism and rectangular pyramid have congruent bases and heights. The
area of each base is 45 in2. What is the volume of each figure in terms of the height, h?
45 in
2
45 in
2
The volume of the pyramid is _____________________
The volume of the prism is _____________________
❸
A rectangular prism and rectangular pyramid have congruent bases and heights. The
area of each base is 27 in2. What is the volume of each figure in terms of the height, h?
The volume of the pyramid is _____________________
27 in
2
27 in
2
The volume of the prism is _____________________
④
A rectangular pool is filled with 24.75 cubic meters of water. If the pool is 3 meters long
and 2.5 meters wide, what is the depth of the pool?
❹
A rectangular pool is filled with 46.55 cubic meters of water. If the pool is 7 meters long
and 3.5 meters wide, what is the depth of the pool?
⑤
The Burleson movie theater offers 2 containers of popcorn. Both containers have the
same height, and the bases of the containers are congruent. What is the relationship
between the volumes of the two containers?
Container B will hold ______________ the volume of Container A.
❺
The Texas State Fair offers 2 boxes of cotton candy. Both boxes have the same height,
and the bases of the boxes are congruent. What is the relationship between the
volumes of the two boxes?
Box
A
Box B will hold ______________ the volume of Box A.
Box
B
⑦
Mrs. Sanders wants to plant flowers in her flower bed. She has a bag with 0.55 cubic
feet of planting soil.
0.6 feet
3.2 feet
0.6 feet
What is the volume of the flower bed? _________________
Will the bag of soil be enough to fill her flower bed? ____________
❼
Mrs. Sanders wants to plant flowers in her flower bed. She has a bag with 0.15 cubic
feet of planting soil.
0.3 feet
3.7 feet
0.3 feet
What is the volume of the flower bed? _________________
Will the bag of soil be enough to fill her flower bed? ____________