Two similar solids have a surface area of 48ft^2 and 147ft^2 respectively. If the volume of the smaller solids is 320ft^3 and the volume of the larger solid is 1715 cubics in.
What is a triangle?
A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
Two similar solids have a surface area of 48ft^2 and 147ft^2 respectively.
If the volume of the smaller solids is 320ft^3.
Since the solids are similar, the ratio of the surface areas is equal to the square of the scale factor, k.
Thus, k2 = 147 / 48 , or k = 49/16 = 7/4
The ratio of the volumes of the solids is equal to k3, which gives:
V / 320 = (7/4)^3
where V is the volume of the larger solid.
V = 320 x (7/4)^3
= 1715 cubics in
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