The length of the diagonal of the given rectangular prism, to the nearest tenth, is: 9.5 ft.
How to Find the Diagonal of a Rectangular Prism?
The length of the diagonal of a rectangular prism, d, can be calculated using the following formula, d = √(l² + w² + h²), where:
- Length of the diagonal of the prism = d.
- Length of the rectangular prism = l.
- Width of the rectangular prism = w .
- Width of the rectangular prism = h.
Given the dimensions of the rectangular prism as:
Length of the rectangular prism (l) = 7 ft
Width of the rectangular prism (w) = 4 ft
Width of the rectangular prism (h) = 5 ft
Plug in the values into d = √(l² + w² + h²)
d = √(7² + 4² + 5²)
d = √(49 + 16 + 25)
d = √(90)
d = 9.5 ft (to the nearest tenth).
Thus, the length of the diagonal of the given rectangular prism, to the nearest tenth, is: 9.5 ft.
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