Respuesta :

Ratio of volume =891:33
=891/33
Ratio of area =153:x
=153/x
Since the area and volume are of the same prism then 891/33=153/x
X=17

Volume is a three-dimensional scalar quantity. The surface area of the smaller prism is 5.6667 cm².

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Let the surface area of the smaller prism be x.

Given the volume of the larger prism is 891cm³, while the volume of the smaller prism is 33cm³. Also, the surface area of the larger prism is 153cm², therefore, the surface area of the smaller prism can be written as,

(Volume of the larger prism)/(Surface area of the larger prism) =

(Volume of the Smaller prism)/(Surface area of the smaller prism)

891/153 = 33/x

x = 5.6667 cm²

Hence, the surface area of the smaller prism is 5.6667 cm².

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