To solve the problem, we need to determine the volume of the given 3D shape. The shape consists of two rectangular prisms stacked on top of each other. Let's break it down step by step.
Step 1: Identify the dimensions of each prism
The shape can be divided into two rectangular prisms:
1.
Bottom Prism:
- Length = 60 cm
- Width = 20 cm
- Height = 20 cm
2.
Top Prism:
- Length = 30 cm
- Width = 20 cm
- Height = 44 cm - 20 cm = 24 cm (since the total height is 44 cm and the bottom prism is 20 cm tall)
Step 2: Calculate the volume of each prism
The volume \( V \) of a rectangular prism is given by the formula:
\[
V = \text{Length} \times \text{Width} \times \text{Height}
\]
#### Volume of the Bottom Prism:
\[
V_{\text{bottom}} = 60 \, \text{cm} \times 20 \, \text{cm} \times 20 \, \text{cm}
\]
\[
V_{\text{bottom}} = 60 \times 20 \times 20 = 24000 \, \text{cm}^3
\]
#### Volume of the Top Prism:
\[
V_{\text{top}} = 30 \, \text{cm} \times 20 \, \text{cm} \times 24 \, \text{cm}
\]
\[
V_{\text{top}} = 30 \times 20 \times 24 = 14400 \, \text{cm}^3
\]
Step 3: Calculate the total volume
The total volume \( V_{\text{total}} \) is the sum of the volumes of the two prisms:
\[
V_{\text{total}} = V_{\text{bottom}} + V_{\text{top}}
\]
\[
V_{\text{total}} = 24000 \, \text{cm}^3 + 14400 \, \text{cm}^3
\]
\[
V_{\text{total}} = 38400 \, \text{cm}^3
\]
Final Answer:
\[
\boxed{38400}
\]
Parent Tip: Review the logic above to help your child master the concept of volume of composite rectangular prisms worksheet.
