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10 votes
10 votes
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?

User InVader
by
2.3k points

1 Answer

21 votes
21 votes

Answer:

225,750 cubic feet.

Step-by-step explanation:

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

,

• Each of her steps is 2.5 feet.

Therefore:


\begin{gathered} \text{Length of the backyard}=56*2.5=140\text{ feet} \\ \text{Width of the backyard}=43*2.5=107.5\text{ feet} \\ \text{Proposed Height of the garage }=15\text{ feet} \end{gathered}

Therefore, the volume of the new garage:


\begin{gathered} V=Length* Width* Height \\ =140*107.5*15 \\ =225,750\text{ cubic feet} \end{gathered}

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

User Wouter Coebergh
by
2.3k points
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