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Example 9.48 from Prealgebra, 9.6 Solve Geometry Applications: Volume and Surface Area
Solve Geometry Applications: Volume and Surface Area: example 9.48
A rectangular crate has a length of inches, width of inches, and height of inches. Find its ⓐ volume and ⓑ surface area.
Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.
Solution
Step 1 is the same for both ⓐ and ⓑ, so we will show it just once.
Step 1. Read the problem. Draw the figure and
label it with the given information.ⓐ Step 2. Identify what you are looking for. the volume of the crate Step 3. Name. Choose a variable to represent it. let = volume Step 4. Translate.
Write the appropriate formula.
Substitute.Step 5. Solve the equation. Step 6. Check: Double check your math. Step 7. Answer the question. The volume is 15,000 cubic inches. ⓑ Step 2. Identify what you are looking for. the surface area of the crate Step 3. Name. Choose a variable to represent it. let = surface area Step 4. Translate.
Write the appropriate formula.
Substitute.Step 5. Solve the equation. Step 6. Check: Check it yourself! Step 7. Answer the question. The surface area is 3,700 square inches.
Your turn
The book's Try It right after this example: same idea, new numbers. Only the answer is given.
A rectangular box has length feet, width feet, and height feet. Find its ⓐ volume and ⓑ surface area.
How did it go?