Looking at the image, I can see a composite 3D shape made of two rectangular prisms (or cuboids) stacked on top of each other. The bottom prism has dimensions labeled as 40 ft (length), 20 ft (width), and 25 ft (height). The top prism is smaller, with all sides labeled as 10 ft, indicating it's a cube.
The task is to find the total volume of this composite shape. To solve this, I need to calculate the volume of each individual prism and then add them together.
The formula for the volume of a rectangular prism is:
Volume = length × width × height
For the bottom prism:
- Length = 40 ft
- Width = 20 ft
- Height = 25 ft
So, Volume_bottom = 40 × 20 × 25
For the top prism (which is a cube):
- Side = 10 ft
So, Volume_top = 10 × 10 × 10
Total Volume = Volume_bottom + Volume_top
Let me calculate these values.
Volume_bottom = 40 × 20 × 25 = 20,000 cubic feet
Volume_top = 10 × 10 × 10 = 1,000 cubic feet
Therefore, the total volume is 20,000 + 1,000 = 21,000 cubic feet.
The solution is 21,000 cubic feet.
Parent Tip: Review the logic above to help your child master the concept of volume of rectangular prism word problems worksheet.
