Mathematics: Andrea needs a box that has a volume of 90 cubic inches

C.)Step-by-step explanation:...

Andrea needs a box that has a volume of 90 cubic

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18.01.2022

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Step-by-step 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

V=b^3

where

b is the length side of the box

90=b^3

solve for b

$b=\sqrt[3]{90}\ in$

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

90=LWH

We find the factors of 90

$90=1\times 2\times 3\times 3\times 5$

Possible measures of the length sides could be

(6,3,5), (2,3,15), (2,9,5), (3,3,10).

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