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18-08-2022
Mathematics

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Type the correct answer in the box. Use numerals instead of words. What is the length of the diagonal shown in the rectangular prism? Round your answer to the nearest tenth. Rectangular prism is shown with length labeled 7 feet on top. Right, width labeled 4 feet. Middle right, height labeled 5 feet. A diagonal is drawn between bottom left vertex of front face and top right vertex of back face.

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akposevictor akposevictor

19-08-2022

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.

Learn more about the diagonal of rectangular prism on:

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