Answer :

HealingPearl

[tex] \large{\underline{\textsf{\textbf{\purple{ Given : }}}}} [/tex]

• Length = 9 [tex] \sf \dfrac{1}{2} [/tex] yd = [tex] \sf \dfrac{19}{2} [/tex] yd

• Breadth = 6 yd

• Height = 4 [tex] \sf \dfrac{2}{3} [/tex] yd = [tex] \sf \dfrac{14}{3} [/tex] yd

[tex] \large{\underline{\textsf{\textbf{\purple{ To \: calculate : }}}}} [/tex]

• Volume

[tex] \large{\underline{\textsf{\textbf{\purple{ Calculation : }}}}} [/tex]

As we know that,

[tex]\bigstar \: \boxed{\sf {Volume_{(Cuboid)} = \ell \times b \times h}} \\ [/tex]

So,

→ Volume = [tex] \sf \dfrac{19}{2} [/tex] yd × 6 yd × [tex] \sf \dfrac{14}{3} [/tex] yd

→ Volume = ( [tex] \sf \dfrac{19}{2} [/tex] × 2 × 14 ) [tex] \sf yd^3 [/tex]

→ Volume = 19 × 14 [tex] \sf yd^3 [/tex]

→ Volume = 266 [tex] \sf yd^3 [/tex]

So, option (i) is correct.

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