Five-Minute Check (over Lesson 7–4)
Main Idea and Vocabulary
Key Concept: Volume of a Prism
Example 1: Find the Volumes of Prisms
Example 2: Find the Volumes of Prisms
Key Concept: Volume of a Cylinder
Example 3: Find the Volume of a Cylinder
Example 4: Find the Volume of a Composite Solid
• Find the volumes of prisms and cylinders.
• volume: measure of the space occupied by a
solid
• cylinder: solid with bases that are congruent,
parallel circles
• composite solid: objects made up of more than
one type of solid
Find the Volumes of Prisms
Find the volume of the rectangular
prism.
Volume of a prism
Simplify.
Answer: The volume is 385 cubic inches.
Find the volume of the
rectangular prism.
A. 90 in3
B. 120 in3
C. 126 in3
D. 148 in
0%
0%
A
B
0%
0%
3
C
D
1.
2.
3.
4.
A
B
C
D
Find the Volumes of Prisms
Find the volume of the
triangular prism.
Volume of a prism
The base is a triangle, so B =
The height of the prism is 4.
Simplify.
Answer: The volume is 270 cubic feet.
Find the volume of the
triangular prism.
A. 22 ft3
B. 30 ft
3
C. 37 ft3
0%
D
0%
C
0%
B
A
D. 45 ft
0%
3
1.
2.
3.
4.
A
B
C
D
Find the Volume of a Cylinder
Find the volume of the cylinder.
Round to the nearest tenth.
Volume of a cylinder
Replace r with 3 and h with 12.
V ≈ 339.3
Simplify.
Answer: The volume is about 339.3 cubic centimeters.
Find the volume of the cylinder.
Round to the nearest tenth.
A. 140.1 in3
B. 152.5 in3
0%
0%
0%
D
0%
C
D. 183.4 in
3
B
3
A
C. 169.6 in
1.
2.
3.
4.
A
B
C
D
Find the Volume of a Composite Solid
TOYS A wooden block has a single hole drilled
entirely through it. What is the volume of the block?
Round to the nearest hundredth.
The block is a rectangular
prism with a cylindrical hole. To
find the volume of the block,
subtract the volume of the
cylinder from the volume of the
prism.
Find the Volume of a Composite Solid
Rectangular Prism
Cylinder
≈
Answer: The volume of the box is about 72 – 9.42 or
62.58 cubic centimeters.
HOBBIES A small wooden cube
has been glued to a larger wooden
block for a whittling project. What
is the volume of the wood to be
whittled?
A. 98 in3
B. 104 in3
1.
2.
3.
4.
C. 112 in3
0%
0%
D
0%
C
A
0%
B
D. 115 in3
A
B
C
D
End of the Lesson
Five-Minute Check (over Lesson 7–4)
Image Bank
Math Tools
Volume of Pyramids, Cones, and Spheres
Making a Pyramid
Surface Area of Prisms
(over Lesson 7-4)
In the figure shown, identify a
plane parallel to plane ABCD.
A. plane EFGH
B. plane DHGF
C. plane BCGH
1.
2.
3.
4.
D. plane ABCE
0%
D
0%
C
0%
B
A
0%
A
B
C
D
(over Lesson 7-4)
In the figure shown, identify a
line skew to AB.
A. AH
B. DE
C. FG
1.
2.
3.
4.
D. EG
0%
0%
A
B
0%
C
0%
D
A
B
C
D
(over Lesson 7-4)
In the figure shown, identify
two points that form a diagonal
when connected.
A. points E and F
B. points A and B
C. points A and E
0%
B
A
0%
0%
C
D. points E and C
A
B
C
D
0%
D
1.
2.
3.
4.
(over Lesson 7-4)
Identify the solid shown. Name the
number and shapes of the faces.
Then name the number of edges
and vertices.
A. cube; 6 faces, all squares;
12 edges; 8 vertices
1.
2.
3.
4.
0%
0%
C
A
D. cube; 6 faces, all squares;
8 edges; 12 vertices
0%
B
C. cube; 4 faces, all squares;
8 edges; 12 vertices
A
B
C
D
0%
D
B. cube; 4 faces, all squares;
12 edges; 8 vertices
(over Lesson 7-4)
Identify the solid shown. Name
the number and shapes of the
faces. Then name the number
of edges and vertices.
A. rectangular prism; 4 faces, all
rectangles; 12 edges; 8 vertices
A
B
C
D
0%
0%
D
D. rectangular prism; 6 faces, all
rectangles; 8 edges; 12 vertices
A
C. rectangular prism; 6 faces, all
rectangles; 12 edges; 8 vertices
B
1.
2.
3.
0% 4. 0%
C
B. rectangular prism; 4 faces, all
rectangles; 8 edges; 12 vertices
(over Lesson 7-4)
Which of the following is represented by a point?
A. face
B. vertex
C. base
D. edge
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D