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17. The edges of a rectangular solid have these measures: 1.5 feet by 1½ feet by 3 inches. What is its volume in cubic inches? a. 324 b. 225 c. 972 d. 27

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sebasacevedop

Answer:

c. 972

Explanation:

The volume of a rectangular solid is calculated as the product of its dimensions, that is, its width, its length and its height:

[tex]V=a*b*h[/tex]

1 feet is equal to 12 inches, so:

[tex]a=1.5ft*\frac{12in}{1ft}=18in\\b=(1+\frac{1}{2})ft\\b=\frac{3}{2}ft*\frac{12in}{1ft}=18in[/tex]

Now, we calculate the volume of the object in cubic inches:

[tex]V=18in*18in*3in\\V=972in^3[/tex]

onyebuchinnaji

The volume of the rectangular solid is 972 in³.

The given parameters;

  • Edges of the rectangular solid, = 1.5 feet by 1½ feet by 3 inches

The base of the rectangular solid in inches is calculated as;

[tex]base = 1\frac{1}{2} \ ft = \frac{3}{2} ft \ \times \frac{12 \ in}{1 \ ft} = 18 \ in[/tex]

The height of the rectangular solid is in inches calculated as;

[tex]h eight = 1.5 \ ft \times \frac{12 \ in}{ft} = 18 \ in[/tex]

The volume of the rectangular solid is calculated as;

[tex]Volume = base \times height \times width\\\\Volume = 18 \ in \times 18 \ in \times 3 \ in\\\\Volume = 972 \ in^3[/tex]

Thus, the volume of the rectangular solid is 972 in³.

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