Question

1. Calculate the length of the space diagonal of a block with dimensions:

Answer 1

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

$Diagonal=\sqrt{l^2+w^2+h^2}$

Putting the given values, we get

$Diagonal=\sqrt{(8)^2+(5)^2+(12)^2}$

$Diagonal=\sqrt{64+25+144}$

$Diagonal=\sqrt{233}$

$Diagonal=15.2643375...$

Round to the nearest tenth.

$Diagonal\approx 15.3$

So, the length of the space diagonal of a block is 15.3 cm.

Therefore, the correct option is B.