Answer:
264 cm³
Step-by-step explanation:
Consider the L-shaped end of the figure. It is 7 cm wide, and 3+4 = 7 cm high. It can be considered to be a 7 cm square with a portion cut out of the upper right corner. That portion is a square that is 4 cm by 4 cm.
Then the area of the L-shaped end is ...
(7 cm)(7 cm) -(4 cm)(4 cm) = (49 -16) cm² = 33 cm²
The volume of the figure is the product of this area and the overall length, which is 8 cm.
V = Bh = (33 cm²)(8 cm) = 264 cm³ . . . volume of the figure
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Additional comment
There are other ways the volume can be figured. For example, it can be considered as a 7 × 8 × 3 cm block with a 3 × 4 × 8 cm block on top. That gives a volume of ...
V = LWH . . . . for each block
V = (7 cm)(8 cm)(3 cm) +(3 cm)(4 cm)(8 cm) = 168 cm³ +96 cm³ = 264 cm³
