You have an aquarium in the shape of a rectangular prism. The base is 4 feet by 2 feet. The height is 3 feet. How many square feet of glass were used to build the aquarium? (The top of the aquarium is open.)

Respuesta :

Answer:

[tex]44\ ft^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of a rectangular prism with the top open  is equal to

[tex]SA=B+Ph[/tex]

where

B is the area of the base of the prism

P is the perimeter of the base of the prism

h is the height of the prism

Find the area of the base B

[tex]B=4*2=8\ ft^{2}[/tex]

Find the perimeter P

[tex]B=2*(4+2)=12\ ft[/tex]

we have

[tex]h=3\ ft[/tex]

substitute

[tex]SA=8+(12)(3)=44\ ft^{2}[/tex]