Five-Minute Check (over Lesson 11–8)
Main Idea and Vocabulary
Key Concept: Volume of a Rectangular Prism
Example 1: Volume of a Rectangular Prism
Example 2: Real-World Example
Key Concept: Volume of a Triangular Prism
Example 3: Volume of a Triangular Prism
• Find the volumes of rectangular and triangular
prisms.
• volume
• rectangular prism
• triangular prism
Volume of a Rectangular Prism
Find the volume of the
rectangular prism.
V = ℓwh
Volume of a rectangular prism
V = 4 ● 3 ● 2 Replace ℓ with 4, w with 3, and h with 2.
V = 24
Multiply.
Answer: 24 cm3
Find the volume of the rectangular prism.
A. 20 in3
B. 100 in3
0%
D
A
B
C
D
0%
C
0%
A
D. 960 in3
1.
2.
3.
4.
0%
B
C. 240 in3
GAMES The manufacturer of
the game Bugs of Planet
Zykon uses the box shown. If
the manufacturer increases
the length of the box to 10
inches, how much will the
box’s volume increase?
Volume of original box
V = ℓwh
Volume of a rectangular prism
V = 8.5 ● 6 ● 4 Replace ℓ with 8.5, w with 6, and h with 4.
V = 204
Multiply.
Volume of new box
V = ℓwh
Volume of a rectangular prism
V = 10 ● 6 ● 4 Replace ℓ with 10, w with 6, and h with 4.
V = 240
Multiply.
The difference in volume between the new box and the
original box is 240 – 204 or 36 cubic inches.
Answer: The box’s volume will increase by 36 in3.
CRACKERS Find the volume of the cracker box.
A. 20 in3
B. 112 in3
C. 280 in3
D. 315 in
3
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
Volume of a Triangular Prism
Find the volume of the triangular prism.
Volume of a Triangular Prism
V = Bh
Volume of a prism
V = 31.5 ● 10
Replace B with 31.5 and
h with 10.
V = 315
Multiply.
Answer: 315 m3
Find the volume of the triangular prism.
A. 16 m3
B. 63 m3
C. 126 m3
D. 178 m
3
0%
0%
A
B
1.
2.
3.
4.
0%
C
A
B
C
D
0%
D
End of the Lesson
Five-Minute Check (over Lesson 11–8)
Image Bank
Math Tools
Area of Trapezoids
Drawing 3-D Figures
Area of Polygons
(over Lesson 11-8)
Refer to the figure. Which option
shows the top, side, and front
views of the solid?
0%
1.
2.
3.
4.
0%
A
B
C
D
0%
0%
D
D.
C
C.
B
B.
A
A.
(over Lesson 11-8)
Which option shows a solid,
drawn using the top, side, and
front views shown in the figure?
0%
1.
2.
3.
0% 4. 0%
A
B
C
D 0%
D
D.
C
C.
B
B.
A
A.
(over Lesson 11-8)
What is the side view of the figure?
A. rectangle
B. square
C. triangle
1.
2.
3.
4.
0%
0%
D
0%
C
A
0%
B
D. parallelogram
A
B
C
D