contestada

A recycling bin is in the shape of a rectangular box. Find the height of the box if its length is 15 ​ft, its width is 9 ​ft, and its surface area is 510 ft squared . ​(In the​ figure, h equals height. Assume that the given surface area includes that of the top lid of the​ box.)

Respuesta :

absor201

The height of rectangular box is 5 feet.

Step-by-step explanation:

Given,

Length of box = l = 15 ft

Width of box = w = 9 ft

Height of box = h

Surface area = 510 ft

Surface area = 2(wl+hl+hw)

[tex]510=2(9*15+h*15+h*9)\\510=2(135+15h+9h)\\510=2(135+24h)\\510=270+48h\\510-270=48h\\240=48h\\48h=240\\[/tex]

Dividing both sides by 48

[tex]\frac{48h}{48}=\frac{240}{48}\\h=5[/tex]

The height of rectangular box is 5 feet.

Keywords: surface area, division

Learn more about division at:

  • brainly.com/question/12497249
  • brainly.com/question/1251787

#LearnwithBrainly

Otras preguntas