Question

Use the image to answer the question.

An illustration shows a cube with parts labeled. The front, right, and top faces are visible. The left, back, and bottom faces are not visible, but their positions are indicated by a dotted line. The edges at the bottom front, bottom right, and back right side are all labeled a and represent length, width, and height. A dotted line extends diagonally from the front top left vertex to the bottom right back vertex and is labeled d.

The length of the edge of the cube, a
, is 8 in. Find the length of the diagonal of the cube, d
. Round the answer to the nearest tenth.

(1 point)
Responses

17.9 in.
17.9 in.

11.3 in.
11.3 in.

13.9 in.
13.9 in.

8.0 in.
8.0 in.
Remaining Attempts : 3
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Answer 1

Diagonal of a cube: d = a√3 = 8√3 ≈ 8(1.73205) ≈ 13.856 → 13.9 in.