To find the volume of the right rectangular prism, we need to consider the volume of each individual cube and then multiply it by the total number of cubes.
Given:
- Each cube has an edge length of \( \frac{1}{3} \) meter.
The formula to find the volume of a cube is \( \text{Volume} = \text{side}^3 \).
Thus, the volume of one cube is:
\[ \left( \frac{1}{3} \text{ meter} \right)^3 = \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} = \frac{1}{27} \text{ cubic meters} \]
Given that there are 10 such cubes:
\[ \text{Total Volume} = 10 \times \frac{1}{27} \text{ cubic meters} = \frac{10}{27} \text{ cubic meters} \]
Therefore, the volume of the right rectangular prism packed with 10 cubes is:
\[ \frac{10}{27} \text{ cubic meters} \]
The correct answer is:
\[ \frac{10}{27} \text{ cubic meters} \]
Area and Volume Unit Test
10 of 1410 of 14 Items
Question
Use the image to answer the question.
An illustration shows a vertical rectangular prism made of cubes placed as two columns, each 5 cubes high.
What is the volume of the right rectangular prism packed with 10 cubes? Each cube has an edge length of 13 meter.
(1 point)
Responses
103 cubic meters
Start Fraction 10 over 3 End Fraction cubic meters
1027 cubic meters
Start Fraction 10 over 27 End Fraction cubic meters
127 cubic meters
Start Fraction 1 over 27 End Fraction cubic meters
10 cubic meters
1 answer
1 answer