To solve the problem of finding the volumes of the rectangular prisms, we use the formula for the volume of a rectangular prism:
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
We will calculate the volume for each prism step by step.
First Row:
1.
Prism 1:
- Dimensions: \(4 \, \text{cm} \times 3 \, \text{cm} \times 6 \, \text{cm}\)
\[
\text{Volume} = 4 \times 3 \times 6 = 72 \, \text{cm}^3
\]
2.
Prism 2:
- Dimensions: \(8 \, \text{mm} \times 2 \, \text{mm} \times 3 \, \text{mm}\)
\[
\text{Volume} = 8 \times 2 \times 3 = 48 \, \text{mm}^3
\]
3.
Prism 3:
- Dimensions: \(5 \, \text{cm} \times 5 \, \text{cm} \times 5 \, \text{cm}\)
\[
\text{Volume} = 5 \times 5 \times 5 = 125 \, \text{cm}^3
\]
Second Row:
4.
Prism 4:
- Dimensions: \(5 \, \text{m} \times 4 \, \text{m} \times 4 \, \text{m}\)
\[
\text{Volume} = 5 \times 4 \times 4 = 80 \, \text{m}^3
\]
5.
Prism 5:
- Dimensions: \(5 \, \text{cm} \times 2 \, \text{cm} \times 8 \, \text{cm}\)
\[
\text{Volume} = 5 \times 2 \times 8 = 80 \, \text{cm}^3
\]
6.
Prism 6:
- Dimensions: \(3 \, \text{m} \times 3 \, \text{m} \times 10 \, \text{m}\)
\[
\text{Volume} = 3 \times 3 \times 10 = 90 \, \text{m}^3
\]
Third Row:
7.
Prism 7:
- Dimensions: \(7 \, \text{cm} \times 4 \, \text{cm} \times 5 \, \text{cm}\)
\[
\text{Volume} = 7 \times 4 \times 5 = 140 \, \text{cm}^3
\]
8.
Prism 8:
- Dimensions: \(4 \, \text{mm} \times 4 \, \text{mm} \times 4 \, \text{mm}\)
\[
\text{Volume} = 4 \times 4 \times 4 = 64 \, \text{mm}^3
\]
9.
Prism 9:
- Dimensions: \(8 \, \text{m} \times 2 \, \text{m} \times 4 \, \text{m}\)
\[
\text{Volume} = 8 \times 2 \times 4 = 64 \, \text{m}^3
\]
Final Answers:
\[
\boxed{
\begin{array}{ccc}
72 \, \text{cm}^3 & 48 \, \text{mm}^3 & 125 \, \text{cm}^3 \\
80 \, \text{m}^3 & 80 \, \text{cm}^3 & 90 \, \text{m}^3 \\
140 \, \text{cm}^3 & 64 \, \text{mm}^3 & 64 \, \text{m}^3
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of volume of a rectangle worksheet.
