Solve Geometry Applications: Volume and Surface Area: example 9.50

A notepad cube measures $2$ 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.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

A packing box is a cube measuring $4$ feet on each side. Find its ⓐ volume and ⓑ surface area.

How did it go?

ⓐ
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.	$V = s^{3}$
Step 5. Solve the equation.	$V = 2^{3}$ $V = 8$
Step 6. Check: Check that you did the calculations correctly.
Step 7. Answer the question.	The volume is 8 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.	$S = 6 s^{2}$
Step 5. Solve the equation.	$S = 6 \cdot 2^{2}$ $S = 24$
Step 6. Check: The check is left to you.
Step 7. Answer the question.	The surface area is 24 square inches.

ⓐ
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.	$V = s^{3}$
Step 5. Solve the equation.	$V = 2^{3}$ $V = 8$
Step 6. Check: Check that you did the calculations correctly.
Step 7. Answer the question.	The volume is 8 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.	$S = 6 s^{2}$
Step 5. Solve the equation.	$S = 6 \cdot 2^{2}$ $S = 24$
Step 6. Check: The check is left to you.
Step 7. Answer the question.	The surface area is 24 square inches.