Question

1. find the perimeter of the base (p), height (h), area of the base (b) and total surface area of the rectangular prism below.

p =

h =

b =

total surface area =

Explanation:

Step1: Calculate base perimeter (P)

The base is a rectangle with length $l=6$ yd, width $w=2$ yd. Perimeter formula: $P=2(l+w)$
$P=2(6+2)=2\times8=16$ yd

Step2: Identify height (h)

The height of the prism is the side perpendicular to the base:
$h=8$ yd

Step3: Calculate base area (B)

Area of rectangular base: $B=l\times w$
$B=6\times2=12$ yd²

Step4: Calculate total surface area (SA)

Total surface area formula for prism: $SA=2B+P\times h$
$SA=2\times12 + 16\times8=24+128=152$ yd²

Answer:

$P = 16$ yd
$h = 8$ yd
$B = 12$ yd²
Total Surface Area = 152 yd²