10cm Height: 20cm 10cm 10cm Length: 10cm 20cm 10cm 10cm width: 20 cm In our visual above Cube B, focusing on the cube's left side to determine its height, we can see that we have two green cubes stacked vertically, one on top of the other. Furthermore, since each cube has a 10 cm side length, each of our green two cubes stacked on top of each other has a 10 cm side length, and adding them together (10 cm + 10 cm = 20 cm) gives us 20 cm for its height of Cube B. Therefore, for Cube B, all of its dimensions, such as its height, length, and width all measure 20 cm. We can also note that we have 4 cubes on top of the 4 bottom cubes where we focused previously on measuring the length and width of Cube B. 10cm Cube C 10 cm 10cm x = 2L of fluid

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 81E
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help explaining #2 and visual cube C. attached #1 and visual for example.

A cube with a side length of 10cm holds 1 liter of fluid. 

#1 How many liters does a cube with a side length of 20cm hold

#2 What is the side length of a cube that holds exactly 2 liters of fluid 

example for answer #1 attached

 

10cm
Height:
20cm
10cm
10cm
Length:
10cm
20cm
10cm
10cm
width:
20 cm
In our visual above Cube B, focusing on the cube's left side to determine its
height, we can see that we have two green cubes stacked vertically, one on top of the
other. Furthermore, since each cube has a 10 cm side length, each of our green two
cubes stacked on top of each other has a 10 cm side length, and adding them together
(10 cm + 10 cm = 20 cm) gives us 20 cm for its height of Cube B. Therefore, for Cube
B, all of its dimensions, such as its height, length, and width all measure 20 cm. We can
also note that we have 4 cubes on top of the 4 bottom cubes where we focused
previously on measuring the length and width of Cube B.
Transcribed Image Text:10cm Height: 20cm 10cm 10cm Length: 10cm 20cm 10cm 10cm width: 20 cm In our visual above Cube B, focusing on the cube's left side to determine its height, we can see that we have two green cubes stacked vertically, one on top of the other. Furthermore, since each cube has a 10 cm side length, each of our green two cubes stacked on top of each other has a 10 cm side length, and adding them together (10 cm + 10 cm = 20 cm) gives us 20 cm for its height of Cube B. Therefore, for Cube B, all of its dimensions, such as its height, length, and width all measure 20 cm. We can also note that we have 4 cubes on top of the 4 bottom cubes where we focused previously on measuring the length and width of Cube B.
10cm
Cube C
10 cm
10cm
x =
2L of fluid
Transcribed Image Text:10cm Cube C 10 cm 10cm x = 2L of fluid
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