Respuesta :

semsee45

Answer:

Length A:  5 ft

Width B:  4 ft

volume = 88 ft³

Step-by-step explanation:

Length A:   8 - 3 = 5 ft

Width B:   8 - 4 = 4 ft

Volume

The easiest way to calculate the volume is to split the trough into two rectangular prisms. (imagine drawing a horizontal line from the internal corner of A and 4ft to the left 8ft side).

Volume of a rectangular prism = width x length x height

Volume of rectangular prism 1: B x 8 x 2 = 4 x 8 x 2 = 64 ft³

Volume of rectangular prism 2: 3 x 4 x 2 = 24 ft³

Total volume = 64 + 24 = 88 ft³
  • Length A=8-3=5ft
  • Length B=8-4=4ft

Now volume of first prism

  • L=8
  • B=2
  • H=3

[tex]\\ \tt\hookrightarrow V=LBH[/tex]

[tex]\\ \tt\hookrightarrow V=8(2)(3)[/tex]

[tex]\\ \tt\hookrightarrow V=48ft^3[/tex]

For next prism

  • L=5
  • B=4
  • H=2

[tex]\\ \tt\hookrightarrow V=5(4)(2)=40ft^3[/tex]

  • Total volume=40+48=88ft^3

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