Question

Ashley is stacking two boxes on a shelf. The bottom box measures 6 inches long, 5 inches wide, and 5 inches high. The top box is a cube with one edge measuring 4 inches. What is the volume of this stack? Explain.

Answer 1

The total volume of the stack of boxes is 214 inches cubed.

Explanation:

First, identify what you know:

1) Ashley stacked two boxes on the shelf.

2) The bottom box measures 6 inches long, 5 inches wide, and 5 inches high.

3) The second box (top box) is a cube with one edge measuring 4 inches.

To find the total volume of these two stacked boxes combined, we need to add the two volumes together. All we need to do is follow the formula:

V = L x W x H

First Box:

V = 6 x 5 x 5

V = 30 x 5

V = 150 inches cubed

Second Box: (A cube has equal width, length, and height, because all sides are equal)

V = 4 x 4 x 4

V = 16 x 4

V = 64 inches cubed

Now, we can add the volume of both!

150 + 64 = 214 inches cubed

Hope this helps! :)