Question

Consiter this prism Enter the volume of the rectangular prism, in cubic centimeters.

Answer 1

To find the volume of the given prism, first, we have to transform each mixed number into a fraction

`\begin{gathered} 3(3)/(4)=(3\cdot4+3)/(4)=(12+3)/(4)=(15)/(4) \\ 3(1)/(3)=(3\cdot3+1)/(3)=(9+1)/(3)=(10)/(3) \\ 2(1)/(2)=(2\cdot2+1)/(2)=(4+1)/(2)=(5)/(2) \end{gathered}`

Then, we multiply the dimensions to find the volume

`V=(15)/(4)*(10)/(3)*(5)/(2)=(750)/(24)=(375)/(12)ft^3=(125)/(4)ft^3=31(1)/(4)ft^3`

But, we know that 1 foot is equivalent to 30.48 centimeters, so let's transform it

`31.25ft^3\cdot(30.48\cdot30.48\cdot30.48(cm)^3)/(1ft^3)\approx884,901(23)/(50)(cm)^3`