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

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