What is the volume of a bin in feet if it has a volume of 1.5m^3?

[physicsgurl12]

Homework Statement

A bin has a volume of 1.5m^3 The volume in feet is closest to
a, 35
b, 47
c, 41
d, 59
e, 53

Homework Equations

1m=100cm 1in=2.54cm 1ft=12in

The Attempt at a Solution

i know a is wrong

1.5m= 150 cm /2.54= 59in/ 12 inches=4.9 ft ??

 

[Doc Al]

1.5m= 150 cm /2.54= 59in/ 12 inches=4.9 ft ??

You converted a distance from meters to feet, but what you need to convert is a volume in meters³ to feet³.

Think this way:
1 m³ = (m)³ = (?ft)³ = (?)³ ft³

 

[physicsgurl12]

im confused as what your trying to say wouldn't 1m^3 =1m^3??

 

[Doc Al]

im confused as what your trying to say wouldn't 1m^3 =1m^3??

Well, sure. What you want is 1 m³ = x ft³.

Start by converting 1 m to feet.

 

[I like Serena]

Hi physicsgurl12!

You need to treat the third power separately from the value 1.5.

So:
1.5 m³ = 1.5 x (1 m)³ = 1.5 x (100 cm)³ = 1.5 x (100 / 2.54 inch)³ = 1.5 x (100 / 2.54 / 12 ft)³

 

[physicsgurl12]

You need to treat the third power separately from the value 1.5.

So:
1.5 m³ = 1.5 x (1 m)³ = 1.5 x (100 cm)³ = 1.5 x (100 / 2.54 inch)³ = 1.5 x (100 / 2.54 / 12 ft)³

AHH. Thanks i get it now. so its 52.972 which is 53. thanks!