contestada

mumy rien
The base of a lamp is solid glass in the shape of a square prism. Each side of the square measures 5 in. If 300 in, of
glass were used to make the lamp's base, what is the height

Respuesta :

calculista

Answer:

[tex]h=12.5\ in[/tex]

Step-by-step explanation:

we know that

The surface area of a square prism is given by the formula

[tex]SA=2(b^2)+4bh[/tex]

where

b is the length side of the square base

h is the height of the prism

we have

[tex]b=5\ in\\SA=300\ in^2[/tex]

substitute

[tex]300=2(5^2)+4(5)h[/tex]

solve for h

[tex]300=50+20h\\20h=300-50\\20h=250\\h=12.5\ in[/tex]