Chapter 9.8, Problem 1PSA

a

To determine

To calculate: Length of YO , a diagonal of face BOXY

Answer to Problem 1PSA

Length of YO is $5$ units.

Explanation of Solution

Given information:

Here, we have given a cuboid, in which BY = $3$ , OB = $4$ and EY = $12$ .

Formula used: Diagonal of rectangle = $\sqrt{l^2+b^2}$

Calculation: In rectangle BOXY, BY = $3$ and OB = $4$

Diagonal of cuboid = $\sqrt{l^2+b^2}$

  $\begin{array}{l}\Rightarrow \sqrt{{(3)}^2 +{\text{ (4)}}^2 }\\ \Rightarrow \sqrt{9+\text{16}}\\ \Rightarrow \sqrt{25}\\ \Rightarrow 5\end{array}$

b

To determine

To calculate: Length of EO, a diagonal of solid

Answer to Problem 1PSA

Length of EO is $13$ units.

Explanation of Solution

Given information:Here, we have given a cuboid, in which BY = $3$ , OB = $4$ and EY = $12$ .

Formula used: Diagonal of cuboid = $\sqrt{l^2 +b^2 +h^2}$

Calculation: In $\Delta EYO$ , EY = $12$ and YO = $5$ .

Diagonal of rectangle = $\sqrt{l^2 +b^2 }$

  $\begin{array}{l}\Rightarrow \sqrt{{\text{(12)}}^2 +{(5)}^2}\\ \Rightarrow \sqrt{\text{144} +25}\\ \Rightarrow \sqrt{169}\\ \Rightarrow 13\end{array}$