Volumes of Rectangular Prisms: Worksheets - Free Printable

I'll solve this problem step by step, calculating the volume of each rectangular prism based on the given dimensions.

First, let me recall the formula for the volume of a rectangular prism:
Volume = length × width × height

Now I'll calculate the volume for each box color:

Red box:
- Length = 9 in
- Width = 6 in
- Height = 2 in
- Volume = 9 × 6 × 2 = 108 in³

Blue box:
- Length = 2 in
- Width = 4 in
- Height = 7 in
- Volume = 2 × 4 × 7 = 56 in³

Green box:
- Length = 3 in
- Width = 5 in
- Height = 5 in
- Volume = 3 × 5 × 5 = 75 in³

Yellow box:
- Length = 8 in
- Width = 4 in
- Height = 3 in
- Volume = 8 × 4 × 3 = 96 in³

Orange box:
- Length = 4 in
- Width = 6 in
- Height = 7 in
- Volume = 4 × 6 × 7 = 168 in³

Brown box:
- Length = 2 in
- Width = 5 in
- Height = 8 in
- Volume = 2 × 5 × 8 = 80 in³

Now I need to match these calculated volumes with the volumes shown for each 3D shape (a-f) and color them accordingly.

Looking at the shapes:
- a. Volume = 168 in³ → This matches the Orange box
- b. Volume = 96 in³ → This matches the Yellow box
- c. Volume = 80 in³ → This matches the Brown box
- d. Volume = 75 in³ → This matches the Green box
- e. Volume = 108 in³ → This matches the Red box
- f. Volume = 56 in³ → This matches the Blue box

For part g, Jenna has a black box that is 14 inches tall, 3 inches deep, and 2 inches wide.
Volume = 14 × 3 × 2 = 84 in³

Let me summarize the solution:

The completed table should be:
- Red box: 108 in³
- Blue box: 56 in³
- Green box: 75 in³
- Yellow box: 96 in³
- Orange box: 168 in³
- Brown box: 80 in³

Coloring the boxes:
- a. Orange (168 in³)
- b. Yellow (96 in³)
- c. Brown (80 in³)
- d. Green (75 in³)
- e. Red (108 in³)
- f. Blue (56 in³)

For part g: The volume of the black box is 84 in³.