Measurement Word Problems
Measurement is the process of assigning a number to a physical property. Measurement includes length, size of an angle, area, volume, mass, time, etc. In word problems we can write any mathematical expression into words. Usually word problems are substituting English terms for algebra symbols and equation. So it is easy to understand and solve the any difficult problems easily.Is this topic Measurement Bias hard for you? Watch out for my coming posts.
Measurement Word Problems – Examples
Example 1: A rectangle has a perimeter of 240 meters and its length is 4 times its width. Find the dimensions W and L, and the area of the rectangle.
Solution:
Formula of the perimeter of a rectangle is 2L + 2W = 240
Length L is 3 times its width W => L = 4W
Substitute L in the equation 2L + 2W = 240 by 4W.
2(4W) + 2W = 240
10W = 240
Solve for W.
W = 24 meters
Put W = 24 into any of the equation to get.
L = 96 W = 24 meters
Formula for area of the rectangle is L * W.
Area = L W = 96 * 24 = 2304 meters2
Example 2: Find the volume of a sphere of radius 8.1 m.
Solution:
V = 4/3 pr3
= 4/3 p × 8.13
= 4/3 × p × 531.441
= 2224.97
So, the volume is 2224.97 m3.
Example 3: Find the volume of a cylinder with radius 5 cm and height 10 cm.
Solution:
V = pr2h
= 3.14 × 52 × 10
= 785
So, the volume of the cylinder is 785 cm3.
Example 4: Find the total surface area of a cylinder of radius 14 cm and height 5 cm.
Solution:
TSA = 2pr (r + h)
= 2 × 3.142 × 14(14+5)
= 2 × 3.142 × 14 × 19
= 1671.544
So, the total surface area is 1671.544 cm2.
Algebra is widely used in day to day activities watch out for my forthcoming posts on online algebra 2 help and help with algebra 2 homework. I am sure they will be helpful.
Measurement Word Problems - Practice
Problem 1: Length and width of the rectangle is 25 and 30. Find the perimeter and area of the rectangle.
Answer: Area = 750 square meter, Perimeter = 110 meter.
Problem 2: Find the volume and area of a cylinder of radius 10 m and height 2 m.
Answer: Volume = 628.31 cubic meters, Area = 125.66 square meters.
Measurement is the process of assigning a number to a physical property. Measurement includes length, size of an angle, area, volume, mass, time, etc. In word problems we can write any mathematical expression into words. Usually word problems are substituting English terms for algebra symbols and equation. So it is easy to understand and solve the any difficult problems easily.Is this topic Measurement Bias hard for you? Watch out for my coming posts.
Measurement Word Problems – Examples
Example 1: A rectangle has a perimeter of 240 meters and its length is 4 times its width. Find the dimensions W and L, and the area of the rectangle.
Solution:
Formula of the perimeter of a rectangle is 2L + 2W = 240
Length L is 3 times its width W => L = 4W
Substitute L in the equation 2L + 2W = 240 by 4W.
2(4W) + 2W = 240
10W = 240
Solve for W.
W = 24 meters
Put W = 24 into any of the equation to get.
L = 96 W = 24 meters
Formula for area of the rectangle is L * W.
Area = L W = 96 * 24 = 2304 meters2
Example 2: Find the volume of a sphere of radius 8.1 m.
Solution:
V = 4/3 pr3
= 4/3 p × 8.13
= 4/3 × p × 531.441
= 2224.97
So, the volume is 2224.97 m3.
Example 3: Find the volume of a cylinder with radius 5 cm and height 10 cm.
Solution:
V = pr2h
= 3.14 × 52 × 10
= 785
So, the volume of the cylinder is 785 cm3.
Example 4: Find the total surface area of a cylinder of radius 14 cm and height 5 cm.
Solution:
TSA = 2pr (r + h)
= 2 × 3.142 × 14(14+5)
= 2 × 3.142 × 14 × 19
= 1671.544
So, the total surface area is 1671.544 cm2.
Algebra is widely used in day to day activities watch out for my forthcoming posts on online algebra 2 help and help with algebra 2 homework. I am sure they will be helpful.
Measurement Word Problems - Practice
Problem 1: Length and width of the rectangle is 25 and 30. Find the perimeter and area of the rectangle.
Answer: Area = 750 square meter, Perimeter = 110 meter.
Problem 2: Find the volume and area of a cylinder of radius 10 m and height 2 m.
Answer: Volume = 628.31 cubic meters, Area = 125.66 square meters.
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