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A rectangular prism shaped produce drawer in a refrigerator is 8 inches tall. The perimeter of the bottom of the drawer is 48 inches. The length of the bottom of the drawer is 4 inches longer than the width

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Question: A rectangular prism shaped produce drawer in a refrigerator is 8 inches tall. The perimeter of the bottom of the drawer is 48 inches. The length of the bottom of the drawer is 4 inches longer than the width. Find the volume of rectangular prism shape.

Answer:

1120 cubic inch

Step-by-step explanation:

Applying

V = Ah................... Equation 1

Where v = volume, A = Area of the base, h = height.

Note: The prism has a rectangular base,

Therefore,

A = l×w

A = lw................... Equation 2

Where l = lenght of the rectangle, w = width of the rectangle.

Substitute Equation 2 into equation 1

V = lwh................. Equation 3

Also

P = 2(l+w).................. Equation 4

From the question,

l = w+4 (the length of the bottom of the drawer is 4 inches longer than the width), P = 48 inches.

Substitute these values into equation 4

48 = 2(w+4+w)

2(w+4+w) = 48

(w+4+w) = 48/2

(w+4+w)  = 24

2w+4 = 24

2w = 24-4

2w = 20

w = 20/2

w = 10 inches, l = 10+4 = 14 inches.

Also given: h = 8 inches.

Substitute these values into equation 3

V = 10×14×8

V = 1120 cubic inch

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