Question

question 1 of 10
given a right prism where p is the perimeter of the base, h is the height, ba is
the area of the bases, and la is the lateral area, what is the surface area?
check all that apply.
a. sa = p + la
b. sa = ba + ph
c. sa = ba + la
d. sa = \frac{1}{2}16 + la
e. sa = 16 - la

Explanation:

Step1: Recall the formula for lateral area of a right prism

The lateral area \(LA\) of a right prism is given by \(LA=ph\) (where \(p\) is the perimeter of the base and \(h\) is the height).

Step2: Recall the formula for surface area of a right prism

The surface area \(SA\) of a right prism is the sum of the lateral area \(LA\) and the area of the two bases \(BA\). So \(SA=BA + LA\). Since \(LA = ph\), we can also write \(SA=BA+ph\)

Answer:

B. \(SA = BA+ph\), C. \(SA = BA + LA\)