Answer:
2 61/64 m³
Step-by-step explanation:
The volume is the product of the linear dimensions. Likely you will need a calculator for this. You may as well have it work the whole problem. (see attachment)
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If you want to work it by hand, the recommended way is to convert the mixed numbers to improper fractions.
... V = LWH
... V = (2 1/4 m)(7/8 m)(1 1/2 m) = (9/4)(7/8)(3/2) m³
... = (9·7·3)/(4·8·2) m³ = 189/64 m³ = 2 61/64 m³