Question

area of prisms
total
4.
formula:
substitute:
answer:
and then answer the question.
cereal is packaged in a
one shown below. the
box are 13 in. x 9 in. x 3 in.
card is needed to construct

Explanation:

Step1: Define formula variables

For total surface area of a prism:
$S = Ph + 2B$, where
$P$ = perimeter of triangular base,
$h$ = length of prism,
$B$ = area of triangular base.

Step2: Calculate base perimeter

Triangular base sides: 8 cm, 7.5 cm, 8.5 cm
$P = 8 + 7.5 + 8.5 = 24$ cm

Step3: Calculate base area

Triangular base: base = 8 cm, height = 7.5 cm
$B = \frac{1}{2} \times 8 \times 7.5 = 30$ cm²

Step4: Substitute into surface area formula

Prism length $h = 5$ cm
$S = (24 \times 5) + (2 \times 30)$

Step5: Compute final value

$S = 120 + 60 = 180$

Answer:

180 cm²