Cylinder:
1) Does doubling the height of a cylinder result in a doubling of the surface area? Why or why not? EXPLAIN. Provide a
numerical example.
2) ST question with open vase. Give both formulas. Ask which formula do you use and why and explain.
3) Describe and correct the error made is finding the SA of the cylinder.
4) Fish tank and cylinder of water problem
Rectangular prism:
1) Does doubling the height of a rectangular prism result in a doubling of the surface area? Why or why not? EXPLAIN.
Provide a numerical example.
2) Describe and correct the error made is finding the SA of the rectangular prism.
Cube:
1) Does doubling the height of a cube result in a doubling of the surface area? Why or why not? EXPLAIN. Provide a
numerical example.
2) Describe and correct the error made is finding the SA of the rectangular prism.
3) ESTIMATE square yards problem with wrapping paper.
Triangular prism:
1) Describe and correct the error made is finding the SA of the triangular prism.
2)
At EACH station,
 Do problem number 1 (3 points).
 CHOOSE at least TWO problems from numbers 2, 3, 4, 5, and 6 (3 points each).
 Do question 7- Written Response (4 points).
If you complete the work at any station before your peers, go to the “Working with Volume
Center”. Investigate and complete the problems (5 points each).
If you complete the work at the “Working with Volume Center”,
 take a deck of flash cards and practice operations with integers OR
 play the integer concentration game OR
 play the scientific notation and standard form memory game.
_____________________________________________________________
At EACH station,
 Do problem number 1 (3 points).
 CHOOSE at least ONE problem from numbers 2, 3, 4, 5, and 6 (3 points each).
 Do question 7- Written Response (4 points).
If you complete the work at any station before your peers, go to the “Working with Volume
Center”. Investigate and complete the problems (5 points each).
If you complete the work at the “Working with Volume Center”,
 take a deck of flash cards and practice operations with integers OR
 play the integer concentration game OR
 play the scientific notation and standard form memory game.
Name: _________________________________ Period: ___
Station 1
Inquiry ____: How do we find the surface area & volume of rectangular prisms?
Directions: Answer problems from 1-6 on loose-leaf. Answer question 7 on this page.
1) Find the surface area AND volume of the rectangular prism below.
2) Explain why the formula for surface area of a rectangular prism is SA = 2LW + 2LH + 2WH. Be clear
and specific.
3) Calculate the volume of a rectangular prism that has a length of 5 m, a width of 40 cm, and a height
of 2500 mm high.
4) A moving company is trying to store boxes in a storage room with a length of 5 m, width of 3 m, and
height of 2 m. How many boxes can fit in this space if each is 10 cm long, 6 cm wide, and 4 cm high?
5) Describe and correct the error made in finding the surface area of the rectangular prism shown
below.
6) The dimensions of a rectangular prism are 5 in, 3 in, and 3 in. A similar prism can be produced by by
multiplying each dimension by the same factor. What happens to the volume when the dimensions are
doubled? Choose the correct answer from the choices below. Then, explain how you know your answer is
correct.
(a) The volume is cut in half.
(b) The volume is multiplied by 2.
(c) The volume is multiplied by 4.
(d) The volume is multiplied by 8.
7)

Look through your notes for inquiries _____ and identify at least 5 key terms that relate to this
inquiry question.

o
_________________________
o
_________________________
o
_________________________
o
_________________________
o
_________________________
Answer the inquiry question for this station using 5 or more complete sentences. You may create
your own problem or use one of the problems you solved to help you explain the answer.
___________________________________________________________________________
___________________________________________________________________________
___________________________________________________________________________
___________________________________________________________________________
___________________________________________________________________________
___________________________________________________________________________
7)

Look through your notes for inquiries _____ and identify at least 5 key terms that relate to this
inquiry question.

o
_________________________
o
_________________________
o
_________________________
o
_________________________
o
_________________________
Fill in the blanks below to help you answer the inquiry question.
The formula for volume of a rectangular prism is ________________.
The formula for surface area of a rectangular prism is ______________________________ or
______________________________.
I use the formula, ______________________________, because ________________________
___________________________________________________________________________.
If a rectangular prism has a length of 5 in, a width of 2 in, and a height of 3 in, I can find the volume
by:
First, label ________________________________________________________________.
Second, write the ________________.
Third, _____________ the values into the formula, V = __________.
Last, I will __________________________________________________________________.
If a rectangular prism has a length of 5 in, a width of 2 in, and a height of 3 in, I can find the
surface area by:
First, label ________________________________________________________________.
Second, write the ________________.
Third, _____________ the values into the formula, SA = __________________________.
Last, I will __________________________________________________________________.
7.G.2
7.G.6
* Calculate the volume of prisms & cylinders, using a given
formula & calculator
* Solve real-world & mathematical problems involving
area, volume & SA of 2D & 3D objects composes of
triangles, quadrilaterals, polygons, cubes, & right prisms
7.G.3
7.G.3
* Identify the 2D shapes that make up the faces and bases
of 3D shapes (prisms, cylinders, cones, pyramids)
* Describe the 2D figures that result from slicing 3D
figures, as in plane sections of right rectangular prisms &
right rectangular pyramids
7.G.4
7.G.6
* Determine the SA of prisms & cylinders, using a
calculator & a variety of methods
* Solve real-world & mathematical problems involving
area, volume & SA of 2D & 3D objects composes of
triangles, quadrilaterals, polygons, cubes, & right prisms