Question

10.12: measure volume
determine the volume of each figure below
volume:
volume:
volume:
mixed review
*adapted from illustrative math
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13

Explanation:

Step1: Count unit - cubes for first shape

Count the number of unit - cubes in the first 'S' - shaped figure. By counting each individual cube, we find there are 28 unit - cubes. So the volume is 28 (assuming each cube has a volume of 1 cubic unit).

Step2: Count unit - cubes for second shape

Count the number of unit - cubes in the second 'L' - shaped figure. There are 14 unit - cubes. So the volume is 14.

Step3: Count unit - cubes for third shape

The third figure is a cube - like shape. It has 3 layers with 9 unit - cubes in each layer. Using the formula \(V = l\times w\times h\) (where \(l = 3\), \(w = 3\), \(h = 3\)), \(V=3\times3\times3 = 27\).

Answer:

Volume of first figure: 28
Volume of second figure: 14
Volume of third figure: 27