Answer:
Part 1) The volume is 0.276556 m³
Part 2) The volume is 276.556 l
Part 3) The volume is 16,886.94 in³
Part 4) The volume is 9.68 ft³
Step-by-step explanation:
A rectangular solid measures 4.9 m by 8.3 cm by 6.8 dm
Part 1) Express its volume in cubic meters
<em>Convert the measures to meters</em>
Remember that
1 m=100 cm
1 m=10 dm
4.9 m
8.3 cm=8.3/100=0.083 m
6.8 dm=6.8/10=0.68 m
Find the volume
V=4.9*0.083*0.68=0.276556 m³
Part 2) Express its volume in liters
<em>Convert the measures to liters</em>
Remember that
1 m³=1,000 l
we have
V=0.276556 m³
so
Convert to liters
0.276556 m³=0.276556*1,000=276.556 l
Part 3) Express its volume in cubic inches
<em>Convert the measures to inches</em>
<em>we have</em>
4.9 m, 0.083 m, 0.68 m
Remember that
1 m= 39.3701 in
so
4.9 m=4.9*39.3701=192.91 in
0.083 m=0.083*39.3701=3.27 in
0.68 m=0.68*39.3701=26.77 in
Find the volume
V=192.91*3.27*26.77=16,886.94 in³
Part 4) Express its volume in cubic feet
<em>Convert the measures to feet</em>
<em>we have</em>
4.9 m, 0.083 m, 0.68 m
Remember that
1 m=3.28084 ft
so
4.9 m=4.9*3.28084=16.08 ft
0.083 m=0.083*3.28084=0.27 ft
0.68 m=0.68*3.28084=2.23 ft
Find the volume
V=16.08*0.27*2.23=9.68 ft³
