Question

you are buying wood to build a gate for your backyard. if your car trunk has the following dimensions (47 inches by 33 inches by 19.5 inches), what is the longest piece of wood that could fit in your trunk (hint: it would likely be diagonal)?

Answer 1

The longest piece of wood that could fit in your trunk to build a gate for the backyard is 60.65 inches.

How to measure diagonal of the cuboid?

The length of the diagonal of the cuboid is found out using the following formula.

$D=\sqrt{l^2+b^2+h^2}$

Here, (l) is the length of the cuboid, (w) is the width, and (h) is the height of the cuboid.

The wood has to buy to build a gate for backyard. The car trunk has the following dimensions (47 inches by 33 inches by 19.5 inches). Here, we have,

• Length (l)=47 in
• Width (w)=33 in
• Height (h)=19.5 in

The longest piece of wood which fits is equal to the length of diagonal of cuboid. Put the values in the formula,

$D=\sqrt{47^2+33^2+19.5^2}\\D=\sqrt{3678.25}\\D=60.65\rm\; in$

Thus, the longest piece of wood that could fit in your trunk to build a gate for the backyard is 60.65 inches.

Learn more about the cuboid here;

brainly.com/question/22694657

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