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The ratio of the length of two similar rectangular blocks is…

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The ratio of the length of two similar rectangular blocks is 2:3. If the volume of the larger block is 351cm³, then the volume of the other block is?

A. 234.00 cm3

B. 526.50 cm3

C. 166.00 cm3

D. 687cm3

QUICK ANSWER…

A

DETAILS…

The ratio of the length of two similar rectangular blocks is 2:3. If the volume of the larger block is 351cm³, then the volume of the other block is 234cm³, let me explain…

Let the length of block1 = 2L

The length of block2 will be = 3L

Let the breadth of block1 = B

The breadth of block2 will automatically be = B (because they are similar in breadth and width).

Let the width of block1 = W

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The width of block2 will automatically be = W (because they are similar in breadth and width).

Recall that the volume of a rectangle = Length × Breadth × Width

Volume of block 1 will be = 2L × B × W= 2LBW

Volume of block 2 will be = 3L × B × W = 3LBW

But from the question, volume of the larger block = 351cm³, this implies:

3LBW = 351

LBW = 351/3

LBW = 117

If LBW = 117, this means

Volume of block1 = 2LBW = 2 × 117 = 234cm³

Now for the right answer to the above question:

  1. Option A is correct.
  2. Option B is not correct.
  3. C is not correct.
  4. D is not the correct answer.

KEY-POINTS…

You may please note these/this:

  • If the rectangles are said to be similar, then it implies that their dimensions are the same except for the indicated difference in length.

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/ culled from 2021 JAMB-UTME MATHEMATICS question 7 /

1 Answers

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    If the rectangles are said to be similar, then it implies that their dimensions are the same except for the indicated difference in length.

    Admin - Mar 27, 2022 | Reply


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