hilda plans to display in a clear cube the needle betsy ross used to sew the first american flag. the needle will fit exactly as the diagonal of the cube.

if the side length of the clear cube is $\sqrt{3}$ inches, and the diagonal of a face of the cube is $\sqrt{6}$ inches, what is the length of the needle?

$\bigcirc$ $\sqrt{6}$ inches
$\bigcirc$ 3 inches
$\bigcirc$ $3\sqrt{2}$ inches
$\bigcirc$ 6 inches

Question

hilda plans to display in a clear cube the needle betsy ross used to sew the first american flag. the needle will fit exactly as the diagonal of the cube.

if the side length of the clear cube is $\sqrt{3}$ inches, and the diagonal of a face of the cube is $\sqrt{6}$ inches, what is the length of the needle?

$\bigcirc$ $\sqrt{6}$ inches
$\bigcirc$ 3 inches
$\bigcirc$ $3\sqrt{2}$ inches
$\bigcirc$ 6 inches

Accepted Answer

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(A) $\sqrt{6}$ inches

(B) 3 inches

(C) $3\sqrt{2}$ inches

(D) 6 inches

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QUESTION IMAGE

Question

Explanation:

Identify the given dimensions of the cube

Apply the Pythagorean theorem to find the space diagonal

Answer: