The volume of a rectangular prism is the product of its three dimensions. We have then: V = (1/2) * (2) * (7/2) V = 3.5 in ^ 3 On the other hand the volume of a cube is: V = L ^ 3 Where L = length of its sides. V = (1) ^ 3 V = 1 in ^ 3 The number of cubes inside the prism is: N = (3.5) / (1) N = 3.5 That is, only 3 cubes of volume 1 in ^ 3 fit inside the prism. Answer: 3 cubes of volume 1 in ^ 3 inside the prism.
Dimensions of the rectangular prism: a=1/2 inches, b=2 inches, c=7/2 inchesVolumen of the rectangular prism: Vr=abcVr=(1/2 inches)(2 inches)(7/2 inches)Vr=[ (1*2*7) / (2*2) ] inches^3Vr=14/4 inches^3Vr=7/2 inches^3 Side of the cube: s=1 incheVolume of the cube: Vc=s^3Vc=(1 inche)^3Vc=1 inche^3
Number of cubes will fit into the rectangular prism: nn=Vr/Vcn=(7/2 inches^3) / (1 inche^3)n=7/2n=3.5 3.5 cubes with side lengths of 1 inche will fit into the prism Read more on Brainly.com - brainly.com/question/9194776#readmore
