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?