Answer :
To find the width of the rectangular prism, we will use the formula for the volume of a rectangular prism, which is:
[tex]\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \][/tex]
Given the values:
- Volume ([tex]\(V\)[/tex]) = 2,730 cubic inches
- Length ([tex]\(l\)[/tex]) = 15 inches
- Height ([tex]\(h\)[/tex]) = 14 inches
We need to find the width ([tex]\(w\)[/tex]). The correct equation to find the width is:
[tex]\[ l \times w \times h = V \][/tex]
Substituting the given values into the equation:
[tex]\[ 15 \times w \times 14 = 2,730 \][/tex]
To isolate [tex]\(w\)[/tex], divide both sides of the equation by [tex]\(15 \times 14\)[/tex]:
[tex]\[ w = \frac{2,730}{15 \times 14} \][/tex]
Calculate the denominator:
[tex]\[ 15 \times 14 = 210 \][/tex]
Now, substitute back into the equation:
[tex]\[ w = \frac{2,730}{210} \][/tex]
Perform the division:
[tex]\[ w = 13.0 \][/tex]
Therefore, the width of the prism is:
[tex]\[ \boxed{13.0} \text{ inches} \][/tex]
[tex]\[ \text{Volume} = \text{length} \times \text{width} \times \text{height} \][/tex]
Given the values:
- Volume ([tex]\(V\)[/tex]) = 2,730 cubic inches
- Length ([tex]\(l\)[/tex]) = 15 inches
- Height ([tex]\(h\)[/tex]) = 14 inches
We need to find the width ([tex]\(w\)[/tex]). The correct equation to find the width is:
[tex]\[ l \times w \times h = V \][/tex]
Substituting the given values into the equation:
[tex]\[ 15 \times w \times 14 = 2,730 \][/tex]
To isolate [tex]\(w\)[/tex], divide both sides of the equation by [tex]\(15 \times 14\)[/tex]:
[tex]\[ w = \frac{2,730}{15 \times 14} \][/tex]
Calculate the denominator:
[tex]\[ 15 \times 14 = 210 \][/tex]
Now, substitute back into the equation:
[tex]\[ w = \frac{2,730}{210} \][/tex]
Perform the division:
[tex]\[ w = 13.0 \][/tex]
Therefore, the width of the prism is:
[tex]\[ \boxed{13.0} \text{ inches} \][/tex]
