Answer:
see the explanation
Explanation:
The complete question is
Andrea needs a box that has a volume of 90 cubic inches.
What might the measures of her box be?
step 1
If we consider the box to be a cube
The volume of the cube is
where
b is the length side of the box
so
![90=b^3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ez1yzplg4fet8oelsfpullcacb70qx81mm.png)
solve for b
![b=\sqrt[3]{90}\ in](https://img.qammunity.org/2021/formulas/mathematics/middle-school/lu2b2ugichxv5vbsk4gdv4glizj9ylk0r8.png)
The measure of each side is approximately 4.48 inches.
step 2
If we consider the box to be a cuboid
The volume of the cuboid is equal to
![V=LWH](https://img.qammunity.org/2021/formulas/mathematics/middle-school/jovb72tftredqpcrm6f1lijsb9r3h1c6j7.png)
![90=LWH](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ba21dg6usn9mnbmf1likl0z7qajdbmeyy9.png)
We find the factors of 90
![90=1* 2* 3* 3* 5](https://img.qammunity.org/2021/formulas/mathematics/middle-school/g6wnt3oq4hc795f02zkixx9izmfxnydlx4.png)
Possible measures of the length sides could be
(6,3,5), (2,3,15), (2,9,5), (3,3,10).