# 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 cm ^{3}**

**B.**** 526.50 cm ^{3}**

**C.**** 166.00 cm ^{3}**

**D.**** 687cm ^{3}**

**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**** ****234cm****³, 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**

**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 = 351cm****³, this implies:**

**3LBW = 351**

**LBW = 351/3**

**LBW = 117**

**If LBW = 117, this means**

**Volume of block1 = 2LBW = 2 ****×**** 117 = 234cm****³**

**Now for the right answer to the above question:**

**Option A is correct.****Option B is not correct.****C is not correct.****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 20****21**** JAMB-UTME**** MATHEMATICS**** question**** 7 ****/**