Introduction to answers to geometry homework:
Learning geometry has traditionally been regarded as important in the secondary schools, at least partly because it has been the primary means of teaching the art of reasoning.
Geometry is a theoretical subject, but easy to understand, and it has many real practical applications. Eventually, geometry has evolved into a skillfully arranged and sensibly organized body of knowledge. I like to share this Triangular Prism Net with you all through my article.
Part 1 -answers to geometry homework:
Geometry homework example 1:
If the perimeter of a cube is 52.5 ft, find its surface area.
Geometry homework solution:
Perimeter of a cube P=12a
52.5=12a
a=52.5/12
a=4.375 ft.
So, the value of a=4.375 ft.
Surface area of a cube SA=6a2
=6(4.375) 2
=6(19.14) ft2
=114.84 ft2
Answer of example 1: Surface area of cube = 114.84 ft2
Geometry homework example 2:
A barrier of length 15 m was to be built across an open ground. The height (h) of the wall is 5 m and thickness of the barrier is 32 cm. If this barrier is to be built up with bricks whose dimensions are 25 cm × 18 cm × 12 cm, how many bricks would be required?
Geometry homework solution:
1 m=100 cm
Here, Length = 15 m = 1500 cm
Thickness = 32 cm
Height = 5 m = 500 cm
Therefore, Volume of the barrier = length × thickness × height
= 1500 × 32 × 500 cm3
Now, each brick is a cuboid with length = 25 cm, breadth = 18 cm and height = 12 cm
So, volume of each brick = length × breadth × height
= 25 × 18 × 12 cm3
So, number of bricks required =volume of the barrier divided by volume of each brick.
Substituting the values,then we get the final answer.
= (1500 × 32 × 500)/ (25 ×18 × 12)
= (24000000)/5400
=4444.44
Answer: The barrier requires 6416 bricks.
I have recently faced lot of problem while learning math word problems for 7th grade, But thank to online resources of math which helped me to learn myself easily on net.
answers to geometry homework:
Geometry homework example 3:
A line passes through (–3, 4) with a slope of -1/5. If another point on this line has coordinates (x, 2), find x.
Geometry homework solution:
Slope m= (y2-y1)/(x2-x1)
-1/5= (2-4)/ (x-(-3))
-1/5= (-2)/(x+3)
We can take cross multiplication.
-1(x+3) =5(-2)
-x-3= -10
-x=-10+3
-x=-7
In both sides cancel for the negative sign and then we get the final answer.
x =7
Answer: The x value is 7
Learning geometry has traditionally been regarded as important in the secondary schools, at least partly because it has been the primary means of teaching the art of reasoning.
Geometry is a theoretical subject, but easy to understand, and it has many real practical applications. Eventually, geometry has evolved into a skillfully arranged and sensibly organized body of knowledge. I like to share this Triangular Prism Net with you all through my article.
Part 1 -answers to geometry homework:
Geometry homework example 1:
If the perimeter of a cube is 52.5 ft, find its surface area.
Geometry homework solution:
Perimeter of a cube P=12a
52.5=12a
a=52.5/12
a=4.375 ft.
So, the value of a=4.375 ft.
Surface area of a cube SA=6a2
=6(4.375) 2
=6(19.14) ft2
=114.84 ft2
Answer of example 1: Surface area of cube = 114.84 ft2
Geometry homework example 2:
A barrier of length 15 m was to be built across an open ground. The height (h) of the wall is 5 m and thickness of the barrier is 32 cm. If this barrier is to be built up with bricks whose dimensions are 25 cm × 18 cm × 12 cm, how many bricks would be required?
Geometry homework solution:
1 m=100 cm
Here, Length = 15 m = 1500 cm
Thickness = 32 cm
Height = 5 m = 500 cm
Therefore, Volume of the barrier = length × thickness × height
= 1500 × 32 × 500 cm3
Now, each brick is a cuboid with length = 25 cm, breadth = 18 cm and height = 12 cm
So, volume of each brick = length × breadth × height
= 25 × 18 × 12 cm3
So, number of bricks required =volume of the barrier divided by volume of each brick.
Substituting the values,then we get the final answer.
= (1500 × 32 × 500)/ (25 ×18 × 12)
= (24000000)/5400
=4444.44
Answer: The barrier requires 6416 bricks.
I have recently faced lot of problem while learning math word problems for 7th grade, But thank to online resources of math which helped me to learn myself easily on net.
answers to geometry homework:
Geometry homework example 3:
A line passes through (–3, 4) with a slope of -1/5. If another point on this line has coordinates (x, 2), find x.
Geometry homework solution:
Slope m= (y2-y1)/(x2-x1)
-1/5= (2-4)/ (x-(-3))
-1/5= (-2)/(x+3)
We can take cross multiplication.
-1(x+3) =5(-2)
-x-3= -10
-x=-10+3
-x=-7
In both sides cancel for the negative sign and then we get the final answer.
x =7
Answer: The x value is 7
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