Respuesta :

semsee45

Answer:

15 u³

Step-by-step explanation:

Volume = width × length × height

Given:

  • width = 2u
  • length = 2 ¹/₂ u
  • height = 3u

⇒ Volume = 2u × 2 ¹/₂ u × 3u

                 = 15 u³

LazyKingHacker

[tex]\underline{\tt{❖ \: Given \: \: ❖}}[/tex]

  • [tex] \sf \: length =2 \dfrac{1}{2}u[/tex]
  • [tex] \sf \: width =2u[/tex]
  • [tex] \sf \: height =3u[/tex]

given figure

[tex] \green{\rule{15pt}{ 15pt}} \: \: \: \green{\rule{15pt}{15pt}} \: \: \: \green{\rule{7.5pt}{15pt}} \\ \: \: \: \: \: \: \green{\rule{15pt}{ 15pt}} \: \: \: \green{\rule{15pt}{15pt}} \: \: \: \green{\rule{7.5pt}{15pt}} \sf \: 2u \\ \green{\rule{15pt}{ 15pt}} \: \: \: \green{\rule{15pt}{15pt}} \: \: \: \green{\rule{7.5pt}{15pt}} \\ \sf \: 2 \dfrac{1}{2}u[/tex]

[tex]\underline{\tt{❖ \: To \: find \: ❖}} [/tex]

  • volume of this object

[tex]\underline{\tt{❖ \: Using \: formula \: ❖}} [/tex]

  • [tex] \sf \: volume = width \times length \times height[/tex]

[tex]\underline{\tt{❖ \: Solution \: ❖}} [/tex]

we have,

[tex]\sf \: volume = width \times length \times height[/tex]

[tex]\sf \: volume = 2u \times 2 \dfrac{1}{2}u \times 3u[/tex]

[tex]\sf \: volume = 2u \times \dfrac{5}{2}u \times 3u[/tex]

[tex]\sf \: volume = \cancel2u \times \dfrac{5}{ \cancel2}u \times 3u[/tex]

[tex]\sf \: volume = u \times 5u \times 3u[/tex]

[tex]\sf \: volume = 15u {}^{3} [/tex]

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