Below you find a practice test for our upcoming measurement test. Work with your partners to come up with correct solutions to each problem. If your group is unsure about the concepts in the problem, please ask me and I will assist.

  1. A pyramid with a square base has a height of 13 inches. What would the area of the base have to be equal to?
  1. What kind of triangles are created in a regular square based pyramid? Is the slant height different than the altitude?
  1. The volume of a sphere is about 64.08 inches cubed. What is the radius of the sphere?
  1. What would the volume of a cube be if the area of one side is equal to 64 meters squared?
  1. What shape would you get if you took a cross-section parallel to the base of a triangular prism? What about a rectangular prism? How about a triangular pyramid? And a cylinder?
  1. What shape would you get if you took a cross-section perpendicular to the base of a pyramid? A cylinder? How about any regular right prism?
  1. You have two objects that have the same volume, one is a cube and one is a rectangular prism. If the edge of the cube measures 3 inches and the length and width of the rectangular prism are 5 inches and 3 inches, respectively, then what would the height of the rectangular prism be? Round you answer to the nearest tenth of an inch
  1. If a cone has a volume of 623 cm cubed and a radius of 6, what does the height have to be? Round your answer to the nearest cm.
  1. If the circumference of a circle is , then what is the radius?
  1. If the area of circle is , the what is the diameter?

Part II

  1. In the formula does it matter where you put the measurements for the length, width, and height? Why?
  1. Would the volume of a right cylinder and oblique cylinder be the same if they both had a height of 10cm and a radius of 3.5cm? Why? What three things would the two objects have to in common in order for their volumes to be the same?
  1. What would the volume be of this composite shape? What would be the

slant height of the cone?

  1. If I wanted to fill this rectangular prism up with juice and I could

dispense the juice at a rate of 40 inches cubed per minute, how

long would it take me to fill the prism to a depth of 6 inches?

  1. If I take 3 cubes of chocolate, whose edges are 6 cm, melt them and pour the melted chocolate into a large glass that is a right cylinder with a diameter of 10 cm, what is the minimum height the glass would have to be?
  1. To the right is a new fish tank I bought for my children. The pyramid is a

square based pyramid. The directions ask me to fill 25% of the fish tank

with rocks. If the rocks cost $6.95 per 12 cubic inches, how much

money will I spend and how many bags do I need?

If I wanted to take cross-sections of my fish tank what 2-D shapes could I get? Be specific on the shape and where the cross section is taken.