Find the volume of the composite solid.
2 answers:
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Option 1: is the correct answer
Step-by-step explanation:
We can put the values of x in each option one by one and then compare the output to find the best option
So,
<u>For y = 5x+5:</u>
Putting x=1,2,3,4,5...
The values of x in the function are producing the output values of y, which means that the function for values given in the table is defined by: y= 5x+5
Hence,
Option 1: is the correct answer
Keywords: Functions, variables
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The volume of the parallelopiped is 1 cubic units.
In this question,
A parallelepiped is a three-dimensional shape with six faces, that are all in the shape of a parallelogram. It has 6 faces, 8 vertices, and 12 edges. The volume of a parallelepiped is the space occupied by the shape in a three-dimensional plane.
Let the parallelepiped be PQRS.
The vertices of parallelepiped are P(0, 1, 0), Q(1, 1, 1), R(0, 2, 0), S(3, 1, 2).
The volume of parallelopiped can be found by using following steps.
PQ = Q - P = (1,0,1)
PR = R - P = (0,1,0)
PS = S - P = (3,0,2)
Now, the volume of parallelopiped is
The determinant the matrix is
⇒ 1(2-0) - 0(0-0) + 1(0-3)
⇒ 1(2) - 0 + (-3)
⇒ 2 - 3
⇒ -1
Hence we can conclude that the volume of the parallelopiped is 1 cubic units.
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