The first term a = 1,
Common difference, d: 7 - 1 = 6.
a(n) = a + (n -1)d,
For 30th term. = 1 + (30 -1)*6
= 1 + 29*6 = 1 + 174 = 175
Considering it's dimensions and the formula, the volume of the cuboid is of 160 cm³.
<h3>What is the volume of a rectangular prism?</h3>
The volume of a rectangular prism, such as a cuboid, is given by the <u>area of the base multiplied by the height</u>, that is:
V = Ab x h
In this problem, the base is a square of sides 4 cm, with the height of 10 cm, hence the volume is given by:
V = 4² x 10 = 160 cm³.
More can be learned about the volume of a cuboid at brainly.com/question/22694657
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Compare to y=mx+b
Parallel lines have equal slopes
Now
equation in point slope form
- y-6=-9(x+4)
- y-6=-9x-36
- y=-9x-30