Respuesta :
Answer:
A) 5 in. long and 5 in. wide
Step-by-step explanation:
Given:
Volume of a rectangular prism = 75 cubic inches
Height of prism = 3 inches
Volume of a rectangular prism is given by = [tex]l\times w\times h[/tex]
where [tex]l[/tex] representslength of base, [tex]w[/tex] represents width of base and [tex]h[/tex] represents height of the prism.
We will check the choices given by finding the volume for the given dimensions of length and width while height remains the same and see if it matches with the given volume of the prism.
A) [tex]l=5\ in[/tex] [tex]w=5\ in[/tex]
Volume of prism = [tex]5\times 5\times 3=75\ in^3[/tex]
B) [tex]l=10\ in[/tex] [tex]w=2\ in[/tex]
Volume of prism = [tex]10\times 2\times 3=60\ in^3[/tex]
C) [tex]l=5\ in[/tex] [tex]w=4\ in[/tex]
Volume of prism = [tex]5\times 4\times 3=60\ in^3[/tex]
D) [tex]l=15\ in[/tex] [tex]w=5\ in[/tex]
Volume of prism = [tex]15\times 5\times 3=225\ in^3[/tex]
So, we see that the dimensions given in option A would give the volume of prism = 75 cubic inches.
