The ratio of the radii of two similar cylinders is 3:5. The volume of the smaller cylinder is 54pi cubic centimeters. Find the v
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Answer:
The volume of the rectangular prism is .
Step-by-step explanation:
Here, box is in the shape of rectangular prism means cuboid shape.
Given:
Rectangular prism base area is in².
Height of the prism is in.
Calculation:
Volume of the rectangular prism is nothing but the volume of cuboid.
Volume of the cuboid is expressed as follow:
V=lbh …… (1)
Base are of the rectangular prism is expressed as follows:
A=lb …… (2)
Substitute the equation (2) in (1). We get the expression for volume as follows:
V=Ah
Substitute in² for A and
in for h in above equation as follows:
Thus, the volume of the rectangular prism is .