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11 Apr 2022, 04:15
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The formula \(M =\sqrt{l^2+w^2+d^2}\) describes the relationship between M, the length of the longest line that can be drawn in a rectangular solid, and l, w, and d, the length, width, and depth of that rectangular solid. The longest line that can be drawn in a rectangular solid with a length of 12, a width of 4, and a depth of 3 is how much longer than the longest line that can drawn in a rectangular solid with a length of 6, a width of 3, and a depth of 2?
(A) 5
(B) 6
(C) 7
(D) 9
(E) 13
(A) 5
(B) 6
(C) 7
(D) 9
(E) 13
11 Apr 2022, 04:41
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\(L1 =\sqrt{12^2+4^2+3^2}\) - \(L2 =\sqrt{6^2+3^2+2^2}\) = 6
(B) is correct
(B) is correct
Bunuel
The formula \(M =\sqrt{l^2+w^2+d^2}\) describes the relationship between M, the length of the longest line that can be drawn in a rectangular solid, and l, w, and d, the length, width, and depth of that rectangular solid. The longest line that can be drawn in a rectangular solid with a length of 12, a width of 4, and a depth of 3 is how much longer than the longest line that can drawn in a rectangular solid with a length of 6, a width of 3, and a depth of 2?
(A) 5
(B) 6
(C) 7
(D) 9
(E) 13
(A) 5
(B) 6
(C) 7
(D) 9
(E) 13
thkkrpratik
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11 Apr 2022, 05:00
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Bunuel
The formula \(M =\sqrt{l^2+w^2+d^2}\) describes the relationship between M, the length of the longest line that can be drawn in a rectangular solid, and l, w, and d, the length, width, and depth of that rectangular solid. The longest line that can be drawn in a rectangular solid with a length of 12, a width of 4, and a depth of 3 is how much longer than the longest line that can drawn in a rectangular solid with a length of 6, a width of 3, and a depth of 2?
(A) 5
(B) 6
(C) 7
(D) 9
(E) 13
(A) 5
(B) 6
(C) 7
(D) 9
(E) 13
\(\sqrt{12^2+4^2+3^2}\) - \(\sqrt{6^2+3^2+2^2}\)
= \(\sqrt{144+16+9}\) - \(\sqrt{36+9+4}\)
= \(\sqrt{169}\) - \(\sqrt{49}\)
= 13 - 7
= 6
Option B
