A rectangular solid measures 1.0 m by 5.6 cm by 2.1 dm. Express its volume in cubic meters, liters, cubic inches, and cubic feet.
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A rectangular solid measures 1.0 m by 5.6 cm by 2.1 dm. Express its volume in cubic meters, liters, cubic inches, and cubic feet.
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VivaApril 10, 2023 в 16:56
The volume of the rectangular solid can be found by multiplying the length, width, and height together:
1.0 m x 0.056 m x 0.21 m = 0.011736 m?
To convert the volume to liters, we can multiply by 1000 since there are 1000 liters in a cubic meter:
0.011736 m? x 1000 = 11.736 liters
To convert the volume to cubic inches, we can first convert the measurements to inches:
1.0 m = 39.37 in
5.6 cm = 2.205 in
2.1 dm = 8.268 in
Then we can multiply the measurements together and convert cubic inches to cubic feet by dividing by 1728 (since there are 1728 cubic inches in a cubic foot):
39.37 in x 2.205 in x 8.268 in = 727.5222 in?
727.5222 in? / 1728 = 0.4211 ft?
Therefore, the volume of the rectangular solid is 0.011736 m? or 11.736 L or 727.5222 in? or 0.4211 ft?.
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