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3 years ago

Question

Mathematics

1 answer:

9966 [12]3 years ago

5 0

Answer:

378 Cubic feet

Step-by-step explanation:

Given a rectangular prism shaped shed:

Area of the floor of the shed = 63 square feet.

Let the width of the shed=w

The length of the shed is 2 feet greater than the width.

Therefore: Length =w+2

Base Area = Length X Width

So: w(w+2)=63

$w^2+2w-63=0\\w^2+9w-7w-63=0\\w(w+9)-7(w+9)=0\\(w-7)(w+9)=0\\w=7 ft, w\neq -9$

Width =7ft

Length =9 ft

The height is 1 foot less than the width.

Height =7-1=6 ft

Volume of a rectangular prism = Base Area X Height

=63 X 6

=378 cubic feet

Therefore, the volume of the shed is 378 cubic feet.

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