The prism's surface area is option 2. 145.3 ft².
Step-by-step explanation:
Step 1; To calculate the triangular prism's surface area, we calculate the areas of all the 5 sides. We divide the prism into 2 triangles and 3 rectangles, find the area individually and then sum them all up in order to determine the area of the entire triangular prism.
Step 2; There are two triangles with base lengths of 9.8 ft and heights of 5.33 feet. To calculate a triangle's area we multiply
with the product of the base length and it's height.
Area of 1 triangle =
× 9.8 × 5.33 = 26.117 ft²
Area of both triangles = Area of 1 triangle × 2 = 26.117 × 2 = 52.234 ft².
Step 3; There are three rectangles with a common width of 3.8 feet but there are three different lengths. Any rectangle's area is calculated by multiplying the rectangle's length with its width.
Area of rectangle with length 9.8 ft = 9.8 × 3.8 = 37.24 ft².
Area of rectangle with length 8.5 ft = 8.5 × 3.8 = 32.3 ft².
Area of rectangle with length 6.2 ft = 6.2 × 3.8 = 23.56 ft².
Step 4; The area of the entire triangular prism = Area of 2 triangles + Area of all the 3 rectangles.
= 52.234 + 37.24 + 32.3 + 23.56 = 145.334 ft². By rounding the calculated value to the nearest tenth we get the area as 145.3 ft².
Hopefully this helps
C=10
1. We assume, that the number 320 is 100% - because it's the output value of the task.
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 320 is 100%, so we can write it down as 320=100%. </span>
<span>4. We know, that x is 45% of the output value, so we can write it down as x=45%. </span>
5. Now we have two simple equations:
1) 320=100%
2) x=45%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
320/x=100%/45%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 45% of 320
320/x=100/45
<span>(320/x)*x=(100/45)*x - </span>we multiply both sides of the equation by x
<span>320=2.22222222222*x - </span>we divide both sides of the equation by (2.22222222222) to get x
<span>320/2.22222222222=x </span>
<span>144=x </span>
x=144
<span>now we have: </span>
<span>45% of 320=144</span>
Hello!
To calculate how much 3 cakes would cost, we must first find the cost of each individual cake.
To do this, we must divide the cost of 8 cakes by 8 cakes.
4.00 ÷ 8 = 0.5
This means that each individual cake costs $0.50. Multiply this by 3 to find the cost of 3 cakes.
0.50 × 3 = 1.50
Therefore, 3 cakes would cost $1.50.