I apologize for the error. Let me try a different approach to examine the image more carefully.
Looking at the L-shaped object, I can see it has the following dimensions:
- Total height: 5 inches
- Total width: 5 inches
- Depth: 2 inches (shown on both top and bottom sections)
- The top section has a height of 2 inches
- The bottom section has a height of 3 inches (since 5 - 2 = 3)
- The top section has a width of 2 inches
- The bottom section has a width of 3 inches (since 5 - 2 = 3)
To calculate the volume of this L-shaped object, I can break it down into two rectangular prisms:
1. The vertical part on the left: This would be 5 inches high × 2 inches wide × 2 inches deep.
2. The horizontal part on the bottom: This would be 3 inches high × 3 inches wide × 2 inches deep.
However, I need to be careful not to double count the overlapping corner. Actually, since this is an L-shape, I can think of it as:
- A large rectangular prism of 5 in × 5 in × 2 in, minus a smaller rectangular prism that's cut out.
Alternatively, I can calculate it as the sum of two non-overlapping parts:
- Part 1: The left column (5 in × 2 in × 2 in)
- Part 2: The bottom right section (3 in × 3 in × 2 in)
Let me calculate the volume using this method:
Volume = Volume of Part 1 + Volume of Part 2
Volume = (5 × 2 × 2) + (3 × 3 × 2)
Volume = 20 + 18
Volume = 38 cubic inches
I could also verify this by calculating the volume of the complete 5×5×2 box and subtracting the missing corner:
Complete box volume = 5 × 5 × 2 = 50 cubic inches
Missing corner (top right) = 3 in (width) × 2 in (height) × 2 in (depth) = 12 cubic inches
Volume of L-shape = 50 - 12 = 38 cubic inches
Both methods give me the same result.
The volume of the L-shaped object is 38 cubic inches.
Parent Tip: Review the logic above to help your child master the concept of additive volume 5th grade worksheet.
