Question

Two similar solids have base areas of 47cm2 (smaller solid) and 199cm2 (bigger solid) the smaller solid is 350cm3 volume

calculate volume of larger solid

Answer 1

The volume of the larger solid is 1470 cm³.

Step-by-step explanation:

To find the volume of the larger solid, we can use the fact that the ratio of the base areas is equal to the ratio of the volumes of similar solids.

Let's set up a proportion:

V1/V2 = A1/A2

where V1 is the volume of the smaller solid, A1 is the base area of the smaller solid, V2 is the volume of the larger solid, and A2 is the base area of the larger solid.

Plugging in the given values:

350/V2 = 47/199

Cross multiply and solve for V2:

V2 = (199 x 350)/47 = 1470 cm³