[MA2019] (5) 19 :
19. Relate volume to the operations of multiplication and addition, and solve real-world and mathematical problems involving volume.
a. Use the associative property of multiplication to find the volume of a right rectangular prism and relate it to packing the prism with unit cubes. Show that the volume can be determined by multiplying the three edge lengths or by multiplying the height by the area of the base.
b. Apply the formulas V = l x w x h and V = B x h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real-world and mathematical problems.
c. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the two parts, applying this technique to solve real-world problems. [MA2015] (5) 20 :
20 ) Recognize volume as an attribute of solid figures, and understand concepts of volume measurement. [5-MD3]
a. A cube with side length 1 unit, called a "unit cube," is said to have "one cubic unit" of volume, and can be used to measure volume. [5-MD3a]
b. A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units. [5-MD3b]
[SC2015] (5) 5 :
5 ) Construct explanations from observations to determine how the density of an
object affects whether the object sinks or floats when placed in a liquid.