Answer:
The volume of the prism is 6 unit³
Step-by-step explanation:
In order to calculate the volume of the prism we first need to calculate the volume of each cube. The volume of a cube is given by the formula below:
volume cube = a³
Where a is the length of the side of the cube. So each cube has a volume of:
volume cube = (1/2)³ = 1/8 unit³
Since the cubes are filling the prism, the volume of the prism is the sum of the volume of all the cubes, in this case 48. Since all the cubes are equal, we can multiply the number of cubes by the volume of one cube in order to calculate the volume of the prism. We have:
volume prism = 48*volume cube
volume prism = 48*(1/8) = 6 unit³
Answer:
Step-by-step explanation:
You start with creating let statements.
Let x = the cost of each pencil.
Let y = the cost of each eraser.
Let z= the cost of each pen.
Then, you’d fill in information from the problem.
3x + 4y = 65
2z + y = 35
Now, you’d solve like a system of equations; meaning you can do elimination or substitution.
Factor out sin x
Sin x (sinx +1) = 0
Use the zero product property
Sin x=0
Sin x+1 = 0
Solutions
x= 0 degrees
x= 270 or -90 degrees
D I think hope this helps
