Effect of Changing 1 Attribute on S.A & Vol. of Rectangular Prisms

Set up your calculator

Go to Desmos calculator
  • In the first line type the formula for Surface Area of a prism ( 2lw+2lh+2wh)
  • In the 2nd line type the formula for Volume of a prism (lwh)
  • In the 4th line type l =
  • In the 5th line type w =
  • In the 6th line type h =

Surface Area & Volume of Original Prism

1A) Set the length to 4ft. The width to 6ft. The height to 9 ft. What is the surface area?

1B) Using these same dimensions, what is the volume?

Double the length

2A) Now double the length to 8, but keep the width and height the same. What is the surface area?

2B) Using the same dimensions, find the volume.

Compare Answers from 1 and 2

Which of the following is true?

Check all that apply

Double the width

3A) Reset the dimensions to the original prism with a length of 4ft., width of 6ft and height of 9 ft.. Now double the width. Find the surface area

3B) Using the dimensions above, find the volume.

Double the height

3C) Without using a calculator, what do you think the volume of a prism is with a length of 4ft, width of 6ft and height of 18ft.?

Taking a third of a side...

4A) Reset the dimensions to the original prism with a length of 4ft., width of 6ft and height of 9 ft.. Change the height to be a third () of the original prism. {HINT: "a third" means to divide by 3) and find the new surface area.

4B) Using the same dimensions find the volume.

4C) Which of the following is true?

Check all that apply

Summary

Fill in the blanks. If you double 1 side of a prism the volume will _____________ and the surface area will ____________

Fill in the blanks. If you multiply 1 side of a prism by the volume will be _____________ and the surface area will ____________