1 Answer

Jeppe · Answer 1 · 2020-03-30T07:20:32+0000

For this case, we have that by definition, the volume of a rectangular prism is given by:

$V = A_ {b} * h$

Where:

$A_ {b} = l * w,$ It is the area of the base

h: It is the height of the prism

So:

$l = 3 \frac {1} {2} = \frac {6 + 1} {2} = \frac {7} {2} in\\w = 5 \ in\\h = 1 \frac {1} {2} = \frac {2 + 1} {2} = \frac {3} {2} in$

So, we have:

$A_ {b} = \frac {7} {2} * 5\\A_ {b} = \frac {35} {2}\\A_ {b} = 17.5 \ in ^ 2$

Thus, the volume will be:

$V = 17.5 * \frac {3} {2}\\V = 26.25 \ in ^ 3$

Answer:

$V = 26.25 \ in ^ 3$

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