﻿ Unit Conversion Word Problems - Page 15 | Problems & Solutions

# Unit Conversion Word Problems - Page 15

Unit Conversion Word Problems
• Page 15
141.
Choose the unit of mass that best fills the blank in the given expression.
4.87 grams = 4.87000 ___
 a. Kilogram b. Decagram c. Milligram d. Gram

#### Solution:

4.87 g = 4.87000 ___
[Original expression.]

4.87 = 4.87000
[Since zero after the decimal has no significance.]

So 4.87 g = 4.87000 g

The unit of mass that best fills in the blank is gram.

142.
Find the value of $p$ in the expression 556.2 kL = $p$ mL.
 a. 5562000 b. 556200 c. 556200000 d. 55620000

#### Solution:

556.2 kL = p mL
[Original expression.]

1 kL = 1000000 mL
[Formula.]

556.2 kL = (556.2 x 1000000) mL
[Use the above formula to convert kL to mL.]

= 556200000 mL
[Simplify.]

p = 556200000.

143.
Find the value of $c$ in the expression $c$ L = 3.29 kL.
 a. 32.9 b. 32900 c. 329 d. 3290

#### Solution:

c L = 3.29 kL
[Original expression.]

1 kL = 1000 L
[Kiloleters in terms of liters.]

3.29 kL = (3.29 x 1000) L
[Convert kiloleters into liters.]

= 3290 L
[Simplify.]

So, c = 3290.

144.
Find the value of $j$ in the expression 76.81 mL = $j$ L.
 a. 7.681 b. 768.1 c. 0.07681 d. 0.7681

#### Solution:

76.81 mL =j L
[Original expression.]

1 mL = 0.001 L
[mL in terms of L.]

76.81 mL = (76.81 x 0.001) L
[Convert mL to L .]

=0.07681 L
[Simplify.]

j = 0.07681.

145.
Which unit of capacity best fills the blank in the expression? 0.008 L = 8___
 a. liters b. deciliters c. milliliters d. kiloliters

#### Solution:

0.008 L = 8 ___
[Original expression.]

0.008 L = 0.008 × 1000 ___
[Split the expression.]

1 L = 1000 mL
[L in terms of mL.]

0.008 L = 0.008 × 1000 mL = 8 mL
[Convert L to mL.]

So, 0.008 L = 8 milliliters.

146.
Which unit of capacity best fills the blank in the expression?
0.000003 kL = 0.003 ___
 a. Milliliters b. Liters c. Kiloliters d. Deciliters

#### Solution:

0.000003 kL = 0.003 ___
[Original expression.]

0.000003 kL = 0.000003 x 1000 ___
[Split the expression.]

1 kL = 1000 L
[kL in terms of L.]

0.000003 kL = (0.000003 x 1000) L
[Convert kL to L.]

= 0.003 L
[Simplify.]

Since 0.000003 kL = 0.003 L, the unit of capacity that best fills the blank of the expression is liters.

147.
How many minutes are there in 5 h 50 min?
 a. 320 min b. 350 min c. 330 min d. 380 min

#### Solution:

1 h = 60 min

5h = 5 x 60 = 300 min
[Simplify.]

= 300 min + 50 min
5 h 50 min
[Substitute 5h = 300 min.]

= 350 min

So, 5 h 50 min is 350 min.

148.
How many seconds are there in 5 h 50 min?
 a. 21000 b. 350 c. 360 d. 21400

#### Solution:

5 h = 5 x 60 min
[One hour = 60 minutes.]

= 5 x 60 x 60 s
[One minute = 60 seconds.]

= 18000 s
[Simplify.]

50 min = 50 x 60 s

= 3000 s
[Multiply.]

= 18000 + 3000 s
So, 5 h 50 min

= 21000 s

149.
What is the standard unit of measure for a liquid?
 a. gram b. milligram c. liter d. kilogram

#### Solution:

Liquids are measured by units of capacity.

The standard unit of capacity is the liter (L).

150.
Choose the standard unit of mass.
 a. kiloliter b. gram c. liter d. Both liter and gram

#### Solution:

The amount of matter in an object is measured by mass.

The standard unit of mass is the gram (g).