Given:
A figure that contains a right triangular prism and cuboid.
To find:
The volume of the figure.
Solution:
The dimensions of cuboid are 16 in, 7 in and 3 in.
So, the volume of the cuboid is:
The base of the prism is a right angle with base 3 in and height 5 in, and the length of the prism is 6 in. So, the base are of the prism is
The volume of a prism is:
Where, B is the base area and h is the height of the prism.
The volume of combined figure is:
Therefore, the volume of the figure is 381 cubic in.
9x+3. you have to combine like terms.
Answer:
Step-by-step explanation:
Y=3x-4
Slope of this line = 3
Slope of the line parallel to this line = 3 {slope of parallel lines are equal}
Slope of the line perpendicular to this line = -1/3 {product of the slope of perpendicular lines= -1}
One barrel is equal to one cylinder. A cylinder consists of two faces which are circles and everything in between. The area of a circle is pi times radius squared. Using 3.14 as pi, multiply the square of the radius (9) by 3.14. You should get 28.26 . Multiply that because a cylinder consists of TWO circles as faces. That should be 56.52. To find the "wrap" or surface area of the space in between the circle, you need to find the circumference of the circle and multiply it by the height of the barrel (5ft). The circumference of a circle is pi (3.14) times diameter (6). The circumference of the barrel should be 18.84. Multiply that by the height and you should get 94.2. Now, take that number and add it to 56.52. The final answer would be 150.72
