Section C Section C Checkpoint

Problem 1

For each situation, decide whether surface area or volume is the quantity needed.

  1. How much wrapping paper is needed to wrap a present?
  2. How much water can fill up a tank with a trapezoid-shaped base?
  3. Bees need 38 cubic inches of hive space per 1,000 bees. What is the largest number of bees that can fit in a beehive box?
  4. Cardboard costs $1.20 per square yard. How much will it cost for the cardboard needed to construct a play house?
Show Solution
Solution
  1. surface area
  2. volume
  3. volume
  4. surface area
Show Sample Response
Sample Response
  1. surface area
  2. volume
  3. volume
  4. surface area

Problem 2

Find the volume and surface area of this prism.

<p>A trapezoidal prism with a bottom base width of 20 centimeters, top base width of 70 centimeters, and length of 35 centimeters is indicated</p>

Here are the dimensions of its base:

<p>A trapezoid, all units centimeters. First base, 20. Non-parallel sides, 47, 37. Second base is split in 2 pieces, 53, 17, by the altitude, 33.</p>

Show Solution
Solution

Volume: 51,975 cm3

Surface area: 9,060 cm2

Show Sample Response
Sample Response

Volume: 51,975 cm3

Surface area: 9,060 cm2