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08 - 09 Solutions

The document is a practice tutorial focused on calculating the volume of various geometric shapes, including cubes, triangular prisms, hexagonal prisms, and rectangular prisms. It includes problems with specific dimensions and provides sample answers for some questions. Additionally, it encourages higher-order thinking by asking students to explain their reasoning in certain scenarios.

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deepaksharma1976
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167 views2 pages

08 - 09 Solutions

The document is a practice tutorial focused on calculating the volume of various geometric shapes, including cubes, triangular prisms, hexagonal prisms, and rectangular prisms. It includes problems with specific dimensions and provides sample answers for some questions. Additionally, it encourages higher-order thinking by asking students to explain their reasoning in certain scenarios.

Uploaded by

deepaksharma1976
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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PRACTICE TUTORIAL

Name:

8-9 Additional Practice Scan for


Multimedia
1. Find the volume of 2. Find the volume of
the cube shown at the triangular
the right. 3.1 m prism shown.
29.791 m3 400 ft 3
8 ft

15 ft
2
6 3 ft

3. Find the volume of the hexagonal prism shown at the right.


Round to the nearest hundredth.
1,732.78 ft

5.7 ft 15.4 ft

6.58 ft

4. The walls of an empty grain silo form a hexagonal prism


as shown at the right. Can the farmer store 4,250 cubic feet
of grain inside the silo? Explain.
Yes; Sample answer: The silo has a volume of
23 ft
4,843.8 ft 3 , which is greater than the volume
of grain, 4,250 ft 3 that the farmer wants to
store.
7.8 ft
9 ft

5. A rain gutter attached to the edge of a roof 6. Make Sense and Persevere A baker
has the shape of a rectangular prism. makes a layered cake with two layers
It is 18 feet long and 7 inches high. It has that are rectangular prisms. Each layer
a volume of 7,560 cubic inches. How wide is 2 inches tall. What is the volume
is the gutter? of the cake?
5 inches 264 in. 3 5 in.

2 in.
3 in.
2 in. 9 in.
13 in.

8-9 Solve Problems Involving Volume 113


7. The triangular prism shown at the right has two bases
that are equilateral triangles. The perimeter of each base
measures 63 cm. What is the volume of the prism? 18.2 cm
5,350.8 cm3
28 cm

8. Make Sense and Persevere Morgan made the display 3 cm


block shown. What is the volume of the block? Explain
4 cm
your answer.
4 cm
264 cm3 ; Sample answer: The block can be split
3 cm
vertically to find the volume of two rectangular
prisms. The volume of the left prism is 3 ~ 8 ~ 7 =
168 cm3 . The volume of the right prism is 8 ~ 3 ~ 8 cm
4 = 96 cm3 . The sum of the volumes is 264 cm3 . 7 cm

9. Higher Order Thinking A steel tube is constructed in the 16 cm


shape of a regular hexagonal prism with a smaller regular
3.5 cm
hexagonal prism removed. The material used for the tube
4.3 cm
weighs 4 grams per cubic centimeter. How much does the 5 cm
tube weigh? Explain your reasoning.
1,440 grams; Sample answer: The volume of the
tube is equal to the difference of the volume of 4 cm
the greater prism and the volume of the prism
that has been removed; 1,032 cm 3 − 672 cm 3 =
360 cm 3 ; (360 cm 3 ) × (4 g/cm 3 ) = 1,440 g.

Assessment Practice
10. What is the volume, in cubic inches, of the triangular 3
6 5 in.
prism shown at the right?
2
4 5 in.
159 18
25
11 in.
1
5 2 in.

11. Before adding flowers, James fills the vase shown 13 full
with water. How much water, in cubic centimeters,
does it take to fill the vase 13 full?

33 cm
1,821.6

6.9 cm
8 cm

114 8-9 Solve Problems Involving Volume

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