Question

What is the longest line segment that can be drawn in a right rectangular prism that is 13 cm long 9 cm wide and 7 cm tall

Answer 1

17.3

Explanation:

The dimension of a rectangular prism is 13x9x7

you would normally get 17.29 but you have to round

which gives us the answer= 17.3

Answer 2

Answer: 17.29 cm

Explanation:

Given

The dimension of a rectangular prism is
`13\ cm* 9* \ cm* 7\ cm`

The longest line which can be drawn in the rectangular prism is diagonal across the body which is shown in the figure

Length of rectangular is given by

`\Rightarrow L=√(l^2+b^2+h^2)`

Putting values

`\Rightarrow L=√(13^2+9^2+7^2)\\\Rightarrow L√(169+81+49)=√(299)\\\Rightarrow L=17.29\ cm`