You can use the formula A = 252 + 4sh to find the surface area of a square prism
that has a base with edge length s and height h. A square prism has a base with
edges that are 12 centimeters long and a height of 15 centimeters. What is the
surface area of the square prism? Show your work.
Please answer fast!! I’m in a test. Give the full explanation

Respuesta :

Answer:

The surface area is 972 square cm

Step-by-step explanation:

Numeric Value of Functions

Given the function:

A = 252 + 4sh

Where A is the surface area of a square prism , s is edge length of the base  h is the height.

A square prism has a base with edges s=12 cm long and height of h=15 cm.

Substituting these values, we get:

A = 252 + 4(12)(15)

A = 252 + 720 = 972

A = 972

The surface area is 972 square cm

The surface area of the square prism is 1008 cm².

Surface area of a square prism:

  • Surface area = 2s² + 4sh

where

s = edge side

h = height

Therefore,

s = 12 cm

h = 15 cm

surface area = 2 × 12² + 4 × 12 × 15

surface area = 2 × 144 + 48 × 15

surface area = 288 + 720

surface area = 1008

surface area = 1008 cm²

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