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A cube of cheese is completely covered in a rind and has an edge of 2
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20 Oct 2025, 13:55
20 Oct 2025, 13:55
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Question Stats:
69% (01:31) correct
30% (01:21) wrong based on 26 sessions
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A cube of cheese is completely covered in a rind and has an edge of 2 inches.
Quantity A |
Quantity B |
The percent of the total surface area that is not covered by rind when the cheese is cut down the middle into 2 equal pieces |
50% |
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Re: A cube of cheese is completely covered in a rind and has an edge of 2
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01 Nov 2025, 13:59
01 Nov 2025, 13:59
Expert Reply
Here it might help to draw a picture to visualize. The surface area of a square cube is the area of one of the sides multiplied by six. Here we know the cube of cheese has a side length of 2 inches.
The surface area is $\(2 \times 2 \times 6=24\)$.
When the cube is cut into 2 equal pieces, it makes two rectangular blocks. Four of the sides of each block will have the dimensions 1 $\(\times 2\)$, and two of the sides will have the dimension $\(2 \times 2\)$.
The new total surface area will be 32 , since cutting the block in half creates two new surfaces, each with the dimension $\(2 \times 2\)$.
Only the two new surfaces will have no rind on them, and to find their total we merely add the areas of those sides: $\(4+4=8\)$.
$$
\(\frac{8}{32}=\frac{1}{4}=25\) %
$$
Column B is larger, therefore the correct answer is (B).
The surface area is $\(2 \times 2 \times 6=24\)$.
When the cube is cut into 2 equal pieces, it makes two rectangular blocks. Four of the sides of each block will have the dimensions 1 $\(\times 2\)$, and two of the sides will have the dimension $\(2 \times 2\)$.
The new total surface area will be 32 , since cutting the block in half creates two new surfaces, each with the dimension $\(2 \times 2\)$.
Only the two new surfaces will have no rind on them, and to find their total we merely add the areas of those sides: $\(4+4=8\)$.
$$
\(\frac{8}{32}=\frac{1}{4}=25\) %
$$
Column B is larger, therefore the correct answer is (B).
gmatclubot
Re: A cube of cheese is completely covered in a rind and has an edge of 2 [#permalink]
01 Nov 2025, 13:59
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