Question

The volume, V, of a rectangular prism is determined using the formula V=lwh, where l is the length, w is the width, and h is the height of the prism.

Using this formula, what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 inches? Round to the nearest tenth.

Answer 1

Answer:

volume=l×b×h

138.24=3.2×b×9.6

138.24=30.72×b

b=138.72/30.72

b=4.5

hence breadth = 4.5 inches

Answer 2

Width of the rectangular prism

It is given to us that the volume of the rectangular prism is calculated by the given formula :-

• v = lwh

Where,

v = volume

l = length

w = width

h = height

Now,

In the question we are given :-

v = 138.24 cubic inches

h =  9.6 inches

l = 3.2 inches

w = ?

Substitute these values in the volume formula given :-

138.24 = 3.2 * w * 9.6

138.24 = 30.72 * w

w = 138.24/30.72

w = 4.5

⇒ The width of the rectangular prism is 4.5 inches.