You'll need to calculate the volume in each case, and then choose the case that has the max. volume.
In the first case, the prism vol. is V = (6 cm)(4 cm)(4 cm), or 96 cm^3.
Second case: (7)(3)(5) cm^3 = 105 cm^3
Third case: (4)(9)(3) cm^3 = 108 cm^3
Fourth case: 5(6)(3) cm^3 = 90 cm^3.
Of these four cases, which volume is the largest?
Rectangular prism will have the largest volume whose l = 4 cm, w = 9 cm, h = 3 cm is 108 cm³.
The volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
1. w = 6 cm, l = 4 cm, h = 4 cm
Volume rectangular prism= w*l*h
= 6*4*4
= 96 cm³
2. w = 7 cm, h = 3 cm, l = 5 cm
Volume rectangular prism= w*l*h
= 7*5*3
=105 cm³
3. l = 4 cm, w = 9 cm, h = 3 cm
Volume rectangular prism= w*l*h
= 9*4*3
= 108 cm³
4. h = 5 cm, w = 6 cm, l = 3 cm
Volume rectangular prism= w*l*h
=6*3*5
= 90 cm³
Hence, the greatest volume is 108 cm³ with dimensions l = 4 cm, w = 9 cm, h = 3 cm.
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