Zelda figures out that her backyard is 56 steps long and 43 steps wide. If she wants to build a 15-foot- tall garage that covers the whole yard and if each of her steps is 2.5 feet, what will the volume of her new garage be?

Respuesta :

Answer:

225,750 cubic feet.

Explanation:

• Her backyard is ,56 steps long, and ,43 steps wide,.

,

• Each of her steps is 2.5 feet.

Therefore:

[tex]\begin{gathered} \text{Length of the backyard}=56\times2.5=140\text{ feet} \\ \text{Width of the backyard}=43\times2.5=107.5\text{ feet} \\ \text{Proposed Height of the garage }=15\text{ feet} \end{gathered}[/tex]

Therefore, the volume of the new garage:

[tex]\begin{gathered} V=Length\times Width\times Height \\ =140\times107.5\times15 \\ =225,750\text{ cubic feet} \end{gathered}[/tex]

The volume of her new garage is 225,750 cubic feet.

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