Looking at the image, I need to calculate the volume of this composite shape. The shape appears to be made up of two rectangular prisms stacked together.
From the dimensions shown:
- The total height is 12 inches
- The total width is 14 inches
- The depth is 5 inches
- The upper part has a height of 8 inches and a width of 6 inches
I can break this into two separate rectangular prisms:
1. A lower prism that spans the full width (14 inches) with a height of (12 - 8 = 4 inches) and depth of 5 inches
2. An upper prism with width 6 inches, height 8 inches, and depth 5 inches
Let me calculate the volume of each part separately and then add them together.
Volume of lower prism = length × width × height = 14 in × 5 in × 4 in = 280 cubic inches
Volume of upper prism = length × width × height = 6 in × 5 in × 8 in = 240 cubic inches
Total volume = 280 + 240 = 520 cubic inches
The volume of the composite shape is 520 cubic inches.
Parent Tip: Review the logic above to help your child master the concept of additive volume 5th grade worksheet.