Loading…
Example 9.49 from Prealgebra, 9.6 Solve Geometry Applications: Volume and Surface Area
Solve Geometry Applications: Volume and Surface Area: example 9.49
A cube is inches on each side. 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 cube Step 3. Name. Choose a variable to represent it. let V = volume Step 4. Translate.
Write the appropriate formula.Step 5. Solve. Substitute and solve. Step 6. Check: Check your work. Step 7. Answer the question. The volume is 15.625 cubic inches. ⓑ Step 2. Identify what you are looking for. the surface area of the cube Step 3. Name. Choose a variable to represent it. let S = surface area Step 4. Translate.
Write the appropriate formula.Step 5. Solve. Substitute and solve. Step 6. Check: The check is left to you. Step 7. Answer the question. The surface area is 37.5 square inches.
Your turn
The book's Try It right after this example: same idea, new numbers. Only the answer is given.
For a cube with side 4.5 meters, find the ⓐ volume and ⓑ surface area of the cube.
How did it go?