Which prism has a volume of 5 cubic units?
1 and one-half units by 3 units by 1 unit
2 units by 2 units by 1 and one-half-units
1 and one-fourth units by 4 units by 1 unit
2 units by 1 unit by 2 units

Respuesta :

Answer:

Step-by-step explanation:

5=1 1/4*4*1=1.25*4*1

so  1 and one fourth units by 4 units by 1  unit

The prism has a volume of 5 cubic unit is option (C) [tex]1\frac{1}{4}[/tex] unit, 4 unit and 1 unit

What is Volume?

Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface

What is Prism?

A prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.

Here,

Volume of prism = l × w × h

Option 1

Volume = [tex](1\frac{1}{2})(3)(1) =\frac{9}{2}[/tex] cubic units

Option 2

Volume = [tex](2)(2)(1\frac{1}{2})=6[/tex] cubic units

Option 3

Volume = [tex](1\frac{1}{4})(4)(1)=5[/tex] cubic units

Option 4

Volume = [tex](2)(1)(2)=4[/tex] cubic units

Hence, The prism has a volume of 5 cubic unit is option (C) [tex]1\frac{1}{4}[/tex] unit, 4 unit and 1 unit

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