1 Answer

Zaklina · Answer 1 · 2023-03-10T19:30:33+0000

Question:

Solution:

First of all, let's find the rational numbers that are equivalent to the mixed numbers in the figure:

$1(1)/(2)\text{ = }\frac{(1\text{ x 2 )+1}}{2}\text{ = }(2+1)/(2)\text{ = }(3)/(2)$

Now, the formula for the volume of a rectangular prism is:

$V\text{ = L x W x H}$

where L is length, W is width and H is the height of the prism. Thus replacing the given data into the volume formula, we get:

$V\text{ = 2 x }(3)/(2)\text{ x }(3)/(2)\text{ = }\frac{2\text{ x 3 x 3 }}{4}\text{ = }(18)/(4)=\text{ }(9)/(2)\text{ = 4}(1)/(2)$

then, the correct answer is:

$V\text{ = 4}(1)/(2)$

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