Answer :

The calculated volume of the box is 792 cubic inches.

To find the volume of the box, we'll use the formula for the volume of a rectangular prism:

[tex]\[ \text{Volume} = \text{Base Area} \times \text{Height} \][/tex]

Since the base of the box is square, the area of the base is the side length squared.

Given that the base has sides of 6 inches each and the height of the box is 22 inches, we have:

[tex]\[ \text{Base Area} = 6 \times 6 = 36 \text{ square inches} \][/tex]

Also, we have that

[tex]\[ \text{Height} = 22 \text{ inches} \][/tex]

So, we have the volume to be

[tex]\[ \text{Volume} = \text{Base Area} \times \text{Height} \][/tex]

This gives

[tex]\[ \text{Volume} = 36 \times 22 \][/tex]

Evaluate

[tex]\[ \text{Volume} = 792 \text{ cubic inches} \][/tex]

Hence, the volume of the box is 792 cubic inches.

Question

a box is 22 inches tall and a square base that all equal 6 inches

What is the volume?

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Rewritten by : Barada