A shipping container is in the form of a right rectangular prism and it can hold 2310 cubic feet of shipped goods when it is full. Its length is 35ft and its height is 8ft3 inches. Find the width of the container in feet. Round your answer to the nearest tenth if necessary.

Volume Formula Application: To find the width of the container, we need to use the formula for the volume of a right rectangular prism, which is Volume = Length × Width × Height. We have the volume and the length and height, so we can solve for the width.Height Conversion to Feet: First, we need to convert the height from feet and inches to feet only, since the volume is given in cubic feet. There are 12 inches in a foot, so 3 inches is 3/12 or 0.25 feet. The height in feet is therefore 8 feet + 0.25 feet = 8.25 feet.Width Calculation: Now we can use the volume formula to solve for the width: Volume = Length × Width × Height 2310 cubic feet = 35 feet × Width × 8.25 feetWidth Calculation Continued: To find the width, we divide both sides of the equation by the product of the length and the height: Width = Volume / (Length × Height) Width = 2310 cubic feet / (35 feet × 8.25 feet)Calculation of Width: Perform the calculation: Width = 2310 / (35 × 8.25) Width = 2310 / 288.75 Width ≈ 8 feetRounding the Width: We round the width to the nearest tenth if necessary. In this case, the width is exactly 8 feet, so no rounding is needed.

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A shipping container is in the form of a right rectangular prism and it can hold 2310 cubic feet of shipped goods when it is full. Its length is
35ft and its height is
8ft3 inches. Find the width of the container in feet. Round your answer to the nearest tenth if necessary.

A shipping container is in the form of a right rectangular prism and it can hold $2310$ cubic feet of shipped goods when it is full. Its length is $35 \mathrm{ft}$ and its height is $8 \mathrm{ft} 3$ inches. Find the width of the container in feet. Round your answer to the nearest tenth if necessary.

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Q. A shipping container is in the form of a right rectangular prism and it can hold

2310

cubic feet of shipped goods when it is full. Its length is

35 \mathrm{ft}

and its height is

8 \mathrm{ft} 3

inches. Find the width of the container in feet. Round your answer to the nearest tenth if necessary.

Volume Formula Application: To find the width of the container, we need to use the formula for the volume of a right rectangular prism, which is $\text{Volume} = \text{Length} \times \text{Width} \times \text{Height}$ . We have the volume and the length and height, so we can solve for the width.
Height Conversion to Feet: First, we need to convert the height from feet and inches to feet only, since the volume is given in cubic feet. There are $12$ inches in a foot, so $3$ inches is $\frac{3}{12}$ or $0.25$ feet. The height in feet is therefore $8$ feet + $0.25$ feet = $8.25$ feet.
Width Calculation: Now we can use the volume formula to solve for the width: $\newline$ Volume = Length $\times$ Width $\times$ Height $\newline$ $2310$ cubic feet = $35$ feet $\times$ Width $\times$ $8.25$ feet
Width Calculation Continued: To find the width, we divide both sides of the equation by the product of the length and the height: $\newline$ Width = $\frac{\text{Volume}}{\text{Length} \times \text{Height}}$ $\newline$ Width = $\frac{2310 \text{ cubic feet}}{35 \text{ feet} \times 8.25 \text{ feet}}$
Calculation of Width: Perform the calculation: $\newline$ Width = $\frac{2310}{(35 \times 8.25)}$ $\newline$ Width = $\frac{2310}{288.75}$ $\newline$ Width $\approx 8$ feet
Rounding the Width: We round the width to the nearest tenth if necessary. In this case, the width is exactly $8$ feet, so no rounding is needed.