Problem

A rectangular box has length $16 \mathrm{ft}$, width $9 \mathrm{ft}$, and height $11 \mathrm{ft}$. Find its volume as surface area. Surface Area = square feet Volume $=$ cubic feet

Solution

Step 1 :Given a rectangular box with length 16 ft, width 9 ft, and height 11 ft.

Step 2 :The volume of a rectangular box is given by the formula: \(\text{Volume} = \text{length} \times \text{width} \times \text{height}\).

Step 3 :Substituting the given values into the formula, we get \(\text{Volume} = 16 \times 9 \times 11 = 1584 \text{ cubic feet}\).

Step 4 :The surface area of a rectangular box is given by the formula: \(\text{Surface Area} = 2 \times (\text{length} \times \text{width} + \text{width} \times \text{height} + \text{height} \times \text{length})\).

Step 5 :Substituting the given values into the formula, we get \(\text{Surface Area} = 2 \times (16 \times 9 + 9 \times 11 + 11 \times 16) = 838 \text{ square feet}\).

Step 6 :Final Answer: The volume of the rectangular box is \(\boxed{1584}\) cubic feet and the surface area is \(\boxed{838}\) square feet.

From Solvely APP
Source: https://solvelyapp.com/problems/18116/

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