a suitcase is a rectangular prism whose dimensions are 1 &1/4 feet by 1 & 3/4 feet by 1 & 1/4 feet.Find the volume of the suitcase.

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a suitcase is a rectangular prism whose dimensions are 1 amp14 feet by 1 amp 34 feet by 1 amp 14 feetFind the volume of the suitcaseANSWER THIS PLEAAAAAAASSSSS class=

Respuesta :

1 1/4=5/4
1 3/4=7/4
v=5/4*5/4*7/4=175/64feet^3

Answer:

[tex]V=2\frac{47}{64}ft^{3}[/tex]

Step-by-step explanation:

The volume of a rectangular prism is defined as

[tex]V=l \times w \times h[/tex]

Where [tex]l[/tex] is length, [tex]w[/tex] is width and [tex]h[/tex] is height.

In this case, the dimensions are

[tex]1\frac{1}{4}ft[/tex], [tex]1\frac{3}{4}ft[/tex] and [tex]1\frac{1}{4}ft[/tex].

First, we need to transform all mixed numbers into fractions.

[tex]1\frac{1}{4}ft =\frac{5}{4}ft[/tex]

[tex]1\frac{3}{4}ft=\frac{7}{4}ft[/tex]

So, using the formula

[tex]V=l \times w \times h=\frac{5}{4}ft \times \frac{7}{4}ft \times \frac{5}{4}ft=\frac{175}{64}ft^{3}\\V=2\frac{47}{64}ft^{3}[/tex]

Therefore, the volume of the suitcase is [tex]V=2\frac{47}{64}ft^{3}[/tex]

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