Answer:
Given : Andrea needs a box that has a volume of 90 cubic inches.
To find : What might the measures of her box be ?
Solution :
We have given the volume of a box = 90 cubic inches.
If we consider the box is in the cube then,
Volume of the cube is \(V=a^3\)
Where, a is the side of the box
\(90=a^3\)
\(a=\sqrt[3]{90}\)
\(a=4.48\)
The measure of each side is approximately 4.48 inches.
If we consider the box is the cuboid then,
We find the factors of 90
\(90=2\times 3\times 3\times 5\)
As the volume of the cuboid is \(V=l\times b\times h\)
Then possible sides could be (6,3,5), (2,3,15), (2,9,5), (3,3,10).
