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Consider the formula for surface area, [tex]\( S_A = (p \cdot h) + 2B \)[/tex].

The perimeter is given in ____, the height in ____, and the area of the base in ____.

A. in; in[tex]\(^2\)[/tex]; in

B. in[tex]\(^2\)[/tex]; in; in[tex]\(^2\)[/tex]

C. in; in; in

D. None of the above

Sagot :

GinnyAnswer
To solve this problem, we need to accurately identify the units for each component in the formula for surface area of a geometric shape, given as [tex]\( SA = (p \cdot h) + 2B \)[/tex]. Let's break down the formula step-by-step:

1. Perimeter (p):
The perimeter of a geometric shape is the total distance around the shape. Perimeter is a linear measurement. Therefore, the unit for perimeter is typically given in inches (in).

2. Height (h):
Height is also a linear measurement, representing the vertical distance from the base to the top of the shape. The unit for height is also in inches (in).

3. Area of the base (B):
Area represents a measure of the total size of a 2-dimensional surface. The unit for area is in square inches (in²), as it is measured in two dimensions.

Combining these insights:

- The perimeter [tex]\(p\)[/tex] is in inches (in).
- The height [tex]\(h\)[/tex] is in inches (in).
- The area of the base [tex]\(B\)[/tex] is in square inches (in²).

Thus, the correct answer is:
A. in; in²; in
The correct answer is a
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