Question

adams closet measures 36 inches by 24 inches by 96 inches. what is the longest distance between corners inside his closet? round to the nearest tenth

Answer 1

The longest distance between corners inside his closet is 105.3 inches

Step-by-step explanation:

Adam's closet is given in the form of a rectangular prism as shown below. Here, we know that:

`Length=L=26in \\ \\ Width=W=24in \\ \\ Height=H=96in`

The longest distance between corners inside his closet is given by the formula:

`d=√(L^2+W^2+H^2) \\ \\ Substituting \ values:\\ \\ d=√(36^2+24^2+96^2) \\ \\ d=√(11,088) \\ \\ d=105.29 \\ \\ \\ \text{Round to the nearest tenth} \\ \\ d=105.3`

Then:

The longest distance between corners inside his closet is 105.3 inches