Question

Asked Sep 5, 2019

135 views

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

Step 1

The volume of the rectangle can be calculated by the formula,

Volume (V) = length (l) × width (b) × height (h) ………(1)

Given that,

Length of the rectangular solid is 1.0 m

Width of the rectangular solid is 5.6 cm

Height of the rectangular solid is 2.1 dm

First, convert all the sides in the unit of meter by using the following conversion data as follows:

1 cm = 10^{-2} m

Therefore, 5.6 cm is equal to 5.6×10^{-2} m

1 dm = 10^{-1} m

Therefore, 2.1 dm is equal to 2.1×10^{-1} m

Now calculate the volume of the rectangular solid by using the equation (1) as follows:

Thus the volume of the rectangular solid is 1.18 ×10^{-2} cubic meters.

Step 2

Now the volume is to be calculated in liters.

As it is known as,

1 liter is equal to 1 dm^{3}

Convert all the units in dm^{3} as follows:

Since 1 m is equal to 10 dm

1 cm is equal to 10^{-1} dm

Therefore, 5.6 cm is equal to 5.6×10^{-1} dm

Now calculate the volume of the rectangular solid by substituting these values in equation (1) as follows:

Therefore, the volume of the rectangular solid in liter is 11.76 liter

Step 3

Now volume is to be calculated in cubic inches.

Convert all the given lengths in inches.

1 m is equal to 39.37 inches

Since 5.6 cm is equal to 5.6 × 10-2 m

Therefore 5.6 cm in inches is,

(5.6 × 10-2 × 39.37) inches

=220.47 × 10-2 inches

Now convert 2.1 dm in inches as follows:

2.1 dm is equal to 2.1 × 10-1 m.

Or 2.1 dm is ...

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: How do you convert 19.32 g/cm^3 to final units of volume?

A: The density is given as 19.32 g/cm3 and to calculate density, the following expression is used,

Q: What mass (g) would 4.10 x 10^16 atoms Mg have

A: We have to determine the mass of 4.10×1016 atoms of Mg.

Q: The average radius of a molecule of lysozyme, an enzyme in tears, is 1430. pm. What is its radius in...

A: Length can be measured in different units such as meter, kilometer, picometer, centimeter, nanometer...

Q: Match the following aqueous solutions with the appropriate letter from the column on the right. Assu...

A: Boiling point increases with the increase in the concentration of the solution. For the following ca...

Q: PERCENTAGE ERROR Name Percentage error is a way for scientists to express how far off a laboratory v...

A: The percentage error is calculated as

Q: Draw the Lewis structure for the nitronium ion NO+2?

A: We have to draw the Lewis structure of nitronium ion, NO2+.

Q: A Canadian, driving in the U.S.A., fuels their car at a cost of US$3.74 per gallon (US).The current ...

A: Amount of the car fuel can be calculated as given below:

Q: What is an atom?

A: An atom can be generally defined as the smallest unit of matter and they are composed of smaller sub...

Q: The normal boiling point of liquid ethane thiol is 309 K. Assuming that its molar heat of vaporizati...

A: Given,T1= 309 KΔHVap = 28.0 KJ (or) 28000 J