209k views
1 vote
A rectangular solid measures 4.9 m by 8.3 cm by 6.8 dm. Express its volume in cubic meters, liters, cubic inches, and cubic feet.

1 Answer

4 votes

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

Explanation:

A rectangular solid measures 4.9 m by 8.3 cm by 6.8 dm

Part 1) Express its volume in cubic meters

Convert the measures to meters

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

Convert the measures to liters

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

Convert the measures to inches

we have

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

Convert the measures to feet

we have

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

User Defcon
by
9.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories