Question
The volume , in cubic units , of a rectangular prism with a square base can be represented by 
. The height in units can be represented by x + 8. What is the side length of the base of the rectangular prism, in unit.
Hint:
A rectangle with length l width w and height h has a volume and surface area as:
V = whl
A = wl.
We are asked to find the length of the rectangular prism.
The correct answer is: the length is, 5x units.
Step 1 of 2:
The volume of the rectangular prism is given by;
The volume in general is; V = whl
The height of the prism is given by; x + 8
The surface area of a rectangular prism is; A = wl
Here, the rectangular prism has a square base, so the surface are is: 
Step 2 of 2:
Substitute the values in the equation, 
;
5x = l
Thus, the length is, 5x units.
5x = l
Thus, the length is, 5x units.
When the base of a rectangular prism is square, then the area and volume would be, 
respectively.
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¶The formula for equations of a line is:
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The value of m in the equation defines the line's slope (or gradient). It can have a positive, negative, or 0 value.
• Positive gradient lines rise from left to right.
• Negative gradient lines slant in reverse order From left to right.
• The gradient of horizontal lines is zero.
The value of c is known as the line's vertical intercept. When x = 0, this is the value of y. When drawing a line, c indicates where the line intersects the vertical axis.
For example, y = 3x + 2 has a slope of 3 (i.e., m = 3) and an intercept of 2 on the y-axis (i.e., c = 2).
To determine the slope-intercept equation. First, find the slope of a line and then the y-intercept of a line.
Write the equation in slope-intercept form of the line that passes through the points (3, 1) and (0, -3).
The slope-intercept form of a line is the most common way to express a line's equation. For example, the slope-intercept form, y = mx + c, is the equation of a straight line with slope m and intercept c on the y-axis. In this case, m and c can be any two real numbers.
The value of m in the equation defines the line's slope (or gradient). It can have a positive, negative, or 0 value.
• Positive gradient lines rise from left to right.
• Negative gradient lines slant in reverse order From left to right.
• The gradient of horizontal lines is zero.
The value of c is known as the line's vertical intercept. When x = 0, this is the value of y. When drawing a line, c indicates where the line intersects the vertical axis.
For example, y = 3x + 2 has a slope of 3 (i.e., m = 3) and an intercept of 2 on the y-axis (i.e., c = 2).
To determine the slope-intercept equation. First, find the slope of a line and then the y-intercept of a line.
what values must be restricted from the domain for x ?
