To solve the problem of finding the volumes of the rectangular prisms, we use the formula for the volume of a rectangular prism:
\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]
Let's calculate the volume for each rectangular prism step by step.
First Row:
1.
Rectangular Prism 1:
- Length = 4 in
- Width = 3 in
- Height = 6 in
\[
\text{Volume} = 4 \times 3 \times 6 = 72 \text{ cubic inches}
\]
2.
Rectangular Prism 2:
- Length = 8 ft
- Width = 2 ft
- Height = 3 ft
\[
\text{Volume} = 8 \times 2 \times 3 = 48 \text{ cubic feet}
\]
3.
Rectangular Prism 3:
- Length = 5 in
- Width = 5 in
- Height = 5 in
\[
\text{Volume} = 5 \times 5 \times 5 = 125 \text{ cubic inches}
\]
Second Row:
4.
Rectangular Prism 4:
- Length = 5 yd
- Width = 4 yd
- Height = 4 yd
\[
\text{Volume} = 5 \times 4 \times 4 = 80 \text{ cubic yards}
\]
5.
Rectangular Prism 5:
- Length = 5 in
- Width = 2 in
- Height = 8 in
\[
\text{Volume} = 5 \times 2 \times 8 = 80 \text{ cubic inches}
\]
6.
Rectangular Prism 6:
- Length = 3 ft
- Width = 3 ft
- Height = 10 ft
\[
\text{Volume} = 3 \times 3 \times 10 = 90 \text{ cubic feet}
\]
Third Row:
7.
Rectangular Prism 7:
- Length = 7 yd
- Width = 4 yd
- Height = 5 yd
\[
\text{Volume} = 7 \times 4 \times 5 = 140 \text{ cubic yards}
\]
8.
Rectangular Prism 8:
- Length = 4 ft
- Width = 4 ft
- Height = 4 ft
\[
\text{Volume} = 4 \times 4 \times 4 = 64 \text{ cubic feet}
\]
9.
Rectangular Prism 9:
- Length = 8 in
- Width = 2 in
- Height = 4 in
\[
\text{Volume} = 8 \times 2 \times 4 = 64 \text{ cubic inches}
\]
Final Answers:
\[
\boxed{
\begin{array}{ccc}
72 \text{ cubic inches} & 48 \text{ cubic feet} & 125 \text{ cubic inches} \\
80 \text{ cubic yards} & 80 \text{ cubic inches} & 90 \text{ cubic feet} \\
140 \text{ cubic yards} & 64 \text{ cubic feet} & 64 \text{ cubic inches}
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of volume worksheets.