Given:
Dimensions of a block are w = 5 cm, l = 8 cm, h = 12 cm.
To find:
The length of the space diagonal of a block.
Solution:
Length of the diagonal is
[tex]Diagonal=\sqrt{l^2+w^2+h^2}[/tex]
Putting the given values, we get
[tex]Diagonal=\sqrt{(8)^2+(5)^2+(12)^2}[/tex]
[tex]Diagonal=\sqrt{64+25+144}[/tex]
[tex]Diagonal=\sqrt{233}[/tex]
[tex]Diagonal=15.2643375...[/tex]
Round to the nearest tenth.
[tex]Diagonal\approx 15.3[/tex]
So, the length of the space diagonal of a block is 15.3 cm.
Therefore, the correct option is B.
