Respuesta :

Given that each cube is ½ unit.

a) The dimension of the prism is:

For the dimensions of a prism, we have:

Length; width; height

[tex]\text{length = 5}\ast\frac{1}{2}=\text{ }\frac{5}{2}\text{ units}[/tex][tex]\text{Width = 4 }\ast\text{ }\frac{1}{2}=\text{ }\frac{4}{2}=\text{ 2 units}[/tex][tex]\text{Height = 3 }\ast\text{ }\frac{1}{2}=\frac{3}{2}\text{ units}[/tex]

b) To find the volume of the prism, use the formula below:

[tex]\text{Volume = length }\ast\text{ width }\ast\text{ height}[/tex]

Thus, we have:

[tex]\text{Volume = }\frac{5}{2}\ast\frac{2}{1}\ast\frac{3}{2}=\frac{30}{4}=\frac{15}{2}\text{ units cube}[/tex]

ANSWER:

[tex]\begin{gathered} a)\text{ length = }\frac{5}{2}\text{ units} \\ \text{ width = 2 units} \\ \text{ height = }\frac{3}{2}units \end{gathered}[/tex][tex]b)\text{ Volume = }\frac{15}{2}\text{ units cube}[/tex]

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