what is the length of the diagonal of a cube with a side length of 4 inches? round to the nearest tenth.

5.7 inches
6.9 inches
8.4 inches
17.7 inches

Question

what is the length of the diagonal of a cube with a side length of 4 inches? round to the nearest tenth.

5.7 inches
6.9 inches
8.4 inches
17.7 inches

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": true, "concepts_used": [ "Cube Diagonals" ], "new_concepts": [], "current_concepts": [ "Cube Diagonals", "Pythagorean Theorem" ] } ## Identify the formula for the space diagonal of a cube $$ d = s\sqrt{3} $$ ## Substitute the given side length $$ \begin{aligned} s &= 4 \ d &= 4\sqrt{3} \end{aligned} $$ ## Calculate the numerical value and round to the nearest tenth $$ \begin{aligned} \sqrt{3} &\approx 1.732 \ d &\approx 4 \times 1.732 = 6.928 \ d &\approx 6.9 \text{ inches} \end{aligned} $$

5.7 inches

6.9 inches

8.4 inches

17.7 inches

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QUESTION IMAGE

Question

Explanation:

Identify the formula for the space diagonal of a cube

Substitute the given side length

Calculate the numerical value and round to the nearest tenth

Answer: