Calculating the Volume of a House

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To calculate the volume of a house with dimensions 62 ft long, 29 ft wide, and 7.3 ft high, the formula used is LxWxH, resulting in 13125.4 cubic feet. However, the conversion to cubic centimeters requires a different approach, as the initial conversion from feet to centimeters was incorrect. The correct method involves converting the dimensions to centimeters first, using the conversion factor of 1 ft = 12 inches and 1 inch = 2.54 cm. The proper calculation should be 62 x 29 x 7.3 x (12 x 2.54)^3 to arrive at the volume in cubic centimeters. Accurate unit conversion is essential for obtaining the correct volume measurement.
Gabrielle227
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Homework Statement



A house is 62 ft long and 29 ft wide, and has
7.3 ft high ceilings.
What is the volume of the interior of the
house?
Answer in units of cm3

Homework Equations



LxWxH ??

The Attempt at a Solution



62x29x7.3= 13125.4
Then I converted it to cm and got 400062
 
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Gabrielle227 said:
62x29x7.3= 13125.4
Then I converted it to cm and got 400062

But the units are not centimeters. They are cubic centimeters. You need to convert from "cubic feet" to "cubic centimeters"
(You went from "feet" to "cm" which is incorrect)

I would suggest doing the conversion at the beginning of the problem
 
your should be 62x29x7.3x(12x2.54)^3 cm3

since 1 ft =12 inch and 1 inch =2.54 cm
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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