Answer:
1. Area of the triangle is \(96m^2\).
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 \(cm^3\).
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.
Given:
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;
\(A=\frac{1}{2}\left (b\cdot h\right)\)
\(A=\frac{1}{2}\left (16\cdot 12\right)\)\(=8 \cdot 12=96 m^2\)
Therefore, the Area of the triangle is \(96m^2\).
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.
\(A=b\cdot h\)
where b is the width and h is the height of the wall.
\(A=8ft\cdot 7ft\)=\(56ft^2\).
Now, area for four walls is, \(4\cdot 56=224 ft^2\)
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 , \(\frac{224}{160} =1.4\) 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, \(V=lbh\)
\(v=10.5\cdot 6.5\cdot 8.5\)\(=580.125 cm^3\)
Therefore, the volume of the following solid(to the nearest tenth), is 580.1 \(cm^3\).
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, \(A=lw\)
\(A=22\cdot 11=242 ft^2\)
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
