Question

PLEASE HELP! Complete the following prompts using complete sentences.
a) Write a hypothesis that compares the volumes of both figures.
b) Calculate the volume of each prism. Was your hypothesis correct? Why or why not?

Answer 1

The volumes of both figures are the amount of space in both figures

• The hypothesis is: the volumes of figure 1 and figure 2 are the same
• The hypothesis is true

The hypothesis of the volumes

Figure 1 is an oblique rectangular prism, while figure 2 is a right rectangular prism.

Since both prisms have the same dimension, then their volumes would be the same.

So, the hypothesis is:

The volumes of figure 1 and figure 2 are the same

The volumes of both prisms

The volume is calculated as:

Volume = Length * Width * Height

For figure 1:

Volume = 5cm * 7cm * 8cm

Volume = 280cm^3

For figure 2:

Volume = 5cm * 7cm * 8cm

Volume = 280cm^3

Since the calculated volumes of the prisms are equal, then the hypothesis stated in (a) is true

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Answer 2

Answer:

The volumes of both figures are the amount of space in both figures

The hypothesis is: the volumes of figure 1 and figure 2 are the same

The hypothesis is true

The hypothesis of the volumes

Figure 1 is an oblique rectangular prism, while figure 2 is a right rectangular prism.

Since both prisms have the same dimension, then their volumes would be the same.

So, the hypothesis is:

The volumes of figure 1 and figure 2 are the same

The volumes of both prisms

The volume is calculated as:

Volume = Length * Width * Height

For figure 1:

Volume = 5cm * 7cm * 8cm

Volume = 280cm^3

For figure 2:

Volume = 5cm * 7cm * 8cm

Volume = 280cm^3

Since the calculated volumes of the prisms are equal, then the hypothesis stated in (a) is true

Step-by-step explanation: