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A rectangular box has length $9$ feet, width $4$ feet, and height $6$ feet. Find its ⓐ volume and ⓑ surface area.
A rectangular suitcase has length $22$ inches, width $14$ inches, and height $9$ inches. Find its ⓐ volume and ⓑ surface area.
A cube is a rectangular solid whose length, width, and height are equal. See Volume and Surface Area of a Cube, below. Substituting, s for the length, width and height into the formulas for volume and surface area of a rectangular solid, we get:
So for a cube, the formulas for volume and surface area are $V={s}^{3}$ and $S=6{s}^{2}.$
For any cube with sides of length $s,$
A cube is $2.5$ inches on each side. Find its ⓐ volume and ⓑ surface area.
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. 
$V={s}^{3}$ 
Step 5. Solve. Substitute and solve. 
$V={(2.5)}^{3}$
$V=15.625$ 
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. 
$S=6{s}^{2}$ 
Step 5. Solve. Substitute and solve. 
$S=6\cdot {(2.5)}^{2}$
$S=37.5$ 
Step 6. Check: The check is left to you.  
Step 7. Answer the question.  The surface area is 37.5 square inches. 
For a cube with side 4.5 meters, find the ⓐ volume and ⓑ surface area of the cube.
For a cube with side 7.3 yards, find the ⓐ volume and ⓑ surface area of the cube.
A notepad cube measures $2$ inches on each side. Find its ⓐ volume and ⓑ surface area.
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. 
$V={s}^{3}$ 
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. 
A packing box is a cube measuring $4$ feet on each side. Find its ⓐ volume and ⓑ surface area.
A wall is made up of cubeshaped bricks. Each cube is $16$ inches on each side. Find the ⓐ volume and ⓑ surface area of each cube.
A sphere is the shape of a basketball, like a threedimensional circle. Just like a circle, the size of a sphere is determined by its radius, which is the distance from the center of the sphere to any point on its surface. The formulas for the volume and surface area of a sphere are given below.
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