Answer:
1. Area of the triangle is
.
2. 2 gallons of paint will you need to cover 224 sq.ft
3. Volume of the following solid(to the nearest tenth), is 580.1
.
4. The area cover is 242 sq. ft.
5. The sides of the triangle on the drawing should be 6, 8, and 9 inch
Step-by-step explanation:
1.
<u>Given:</u>
Base of the triangle(b) is 16 m
and altitude of the triangle(h) is 12 m.
To find the Area of the triangle(A), given by;
![A=\frac{1}{2}\left (b\cdot h\right)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%20%28b%5Ccdot%20h%5Cright%29)
![A=\frac{1}{2}\left (16\cdot 12\right)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Cleft%20%2816%5Ccdot%2012%5Cright%29)
![=8 \cdot 12=96 m^2](https://tex.z-dn.net/?f=%3D8%20%5Ccdot%2012%3D96%20m%5E2)
Therefore, the Area of the triangle is
.
2.
Given: You wish to paint a storage shed. Its four walls measure 7 ft. high and 8 ft. wide each.
First find the area(A) of one wall.
![A=b\cdot h](https://tex.z-dn.net/?f=A%3Db%5Ccdot%20h)
where b is the width and h is the height of the wall.
=
.
Now, area for four walls is, ![4\cdot 56=224 ft^2](https://tex.z-dn.net/?f=4%5Ccdot%2056%3D224%20ft%5E2)
Since, one gallon of paint covers 160 sq. ft or we can say that 160 sq. ft cover in one gallon of paint.
for 224 sq ft cover in ,
gallon of paint
2 gallons of paint will you need to cover 224 sq.ft.
3.
Given: A rectangular solid has sides of 10.5 cm, 6.5 cm, and 8.5 cm
length (l)=10.5 cm
breadth(b)=6.5 cm
height(h)=8.5 cm
Volume of rectangular solid(V) is given by, ![V=lbh](https://tex.z-dn.net/?f=V%3Dlbh)
![v=10.5\cdot 6.5\cdot 8.5](https://tex.z-dn.net/?f=v%3D10.5%5Ccdot%206.5%5Ccdot%208.5)
![=580.125 cm^3](https://tex.z-dn.net/?f=%3D580.125%20cm%5E3)
Therefore, the volume of the following solid(to the nearest tenth), is 580.1
.
4.
Given: You are laying an asphalt driveway. if the driveway is 22 feet long and 11 feet wide.
length(l)=22 ft
Wide(w)= 11 ft
Area cover (A) is given by, ![A=lw](https://tex.z-dn.net/?f=A%3Dlw)
![A=22\cdot 11=242 ft^2](https://tex.z-dn.net/?f=A%3D22%5Ccdot%2011%3D242%20ft%5E2)
Therefore, the area cover is 242 sq. ft.
5.
Given: A triangle with sides 12 feet, 16 feet, and 18 feet on a drawing
Use: 1 inch = 2 feet.
Convert each sides of a triangle into inches.
12 feet
1 inch = 2 feet
12 feet = 6 inch
similarly, others sides 16 feet = 8 inch and 18 feet = 9 inch
Therefore, the sides of the triangle on the drawing should be 6 inch, 8 inch, and 9 inch