cutemeower
cutemeower cutemeower
  • 21-12-2020
  • Mathematics
contestada

What is the volume of the box pictured below?

What is the volume of the box pictured below class=

Respuesta :

jimrgrant1 jimrgrant1
  • 21-12-2020

Answer:

[tex]\frac{3}{4}[/tex] m³

Step-by-step explanation:

The volume (V) of the cuboid is calculated as

V = lbh ( l is length, b is breadth and h is height ) , then

V = 1 [tex]\frac{1}{8}[/tex] × [tex]\frac{4}{5}[/tex] × [tex]\frac{5}{6}[/tex] ( change mixed number to improper fraction )

  = [tex]\frac{9}{8}[/tex] × [tex]\frac{4}{5}[/tex] × [tex]\frac{5}{6}[/tex] ( cancel the 5's, 4 and 8 by 4 and 9 and 6 by 3 )

  = [tex]\frac{3}{2}[/tex] × [tex]\frac{1}{1}[/tex] × [tex]\frac{1}{2}[/tex]

  = [tex]\frac{3}{4}[/tex] m³

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