Lesson 1 Any Way You Slice It Develop Understanding
As you solve each problem, make certain you label the units on each of your answers.
Calculate the perimeter of a rectangle that measures
Calculate the area of the same rectangle.
Calculate the volume of a rectangular box that measures
Look back at problems 1–3. Explain how the units change for each answer.
Calculate the surface area for the box in problem 3. Assume it does NOT have a cover on top. Identify the units for the surface area. How do you know your units are correct?
Calculate the circumference of a circle if the radius measures
Calculate the area of the circle in problem 6.
Calculate the volume of a ball with a diameter of
Calculate the surface area of the ball in problem 8.
If a measurement were given, could you know if it represented a perimeter, an area, or a volume? Explain.
In problems 1–9, which type of measurement would be considered a “linear measurement?”
Consider the intersection of a plane and a cone.
If the plane were parallel to the base of the cone, what would be the shape of the cross-section? Can you think of two possibilities? Explain.
If the plane intersected the cone on a slant, so that it intersected segment
Describe how the plane would need to intersect the cone in order to get a cross-section that is a triangle. Would the triangle be scalene, isosceles, or equilateral? Explain.
Would it be possible for the intersection of a plane and a cone to be a line? Explain.
A large waffle cone has a diameter of
Find the volume of the two scoops of ice cream combined with the ice cream inside the cone.
Determine whether or not quadrilateral
Use the two given points on the grid,
Given the coordinates of the quadrilateral