Solve the problem.
-There are 1000 meters in 1 kilometer. Find a conversion factor between cubic meters and cubic kilometers. Write it in three forms.
A) $1 \mathrm {~km} ^ { 3 } = ( 1000 \mathrm {~m} ) ^ { 3 } = 100,000 \mathrm {~m} ^ { 3 }$
B) $1 \mathrm {~km} ^ { 2 } = ( 1000 \mathrm {~m} ) ^ { 2 } = 1,000 \mathrm {~m} ^ { 2 }$
C) $1 \mathrm {~m} ^ { 3 } = ( 1000 \mathrm {~km} ) ^ { 3 } = 1,000,000 \mathrm {~km} ^ { 3 }$
D) $1 \mathrm {~km} ^ { 3 } = ( 1000 \mathrm {~m} ) ^ { 3 } = 1,000,000,000 \mathrm {~m} ^ { 3 }$

Question

Solve the problem.
-There are 1000 meters in 1 kilometer. Find a conversion factor between cubic meters and cubic kilometers. Write it in three forms. 
A) $1 \mathrm {~km} ^ { 3 } = ( 1000 \mathrm {~m} ) ^ { 3 } = 100,000 \mathrm {~m} ^ { 3 }$
B) $1 \mathrm {~km} ^ { 2 } = ( 1000 \mathrm {~m} ) ^ { 2 } = 1,000 \mathrm {~m} ^ { 2 }$
C) $1 \mathrm {~m} ^ { 3 } = ( 1000 \mathrm {~km} ) ^ { 3 } = 1,000,000 \mathrm {~km} ^ { 3 }$
D) $1 \mathrm {~km} ^ { 3 } = ( 1000 \mathrm {~m} ) ^ { 3 } = 1,000,000,000 \mathrm {~m} ^ { 3 }$

Quizplus · Accepted Answer

The correct conversion factor between cubic meters and cubic kilometers is that 1 cubic kilometer equals 1000 meters cubed, which equals 1,000,000,000 cubic meters.

Solve the Problem 1 km3=(1000 m)3=100,000 m31 \mathrm {~km} ^ { 3 } = ( 1000 \mathrm {~m} ) ^ { 3 } = 100,000 \mathrm {~m} ^ { 3 }1 km3=(1000 m)3=100,000 m3

Solve the Problem $1 \mathrm {~km} ^ { 3 } = ( 1000 \mathrm {~m} ) ^ { 3 } = 100,000 \mathrm {~m} ^ { 3 }$