Question

Find the missing dimension of the image below. Your answer is in inches, but do not include your label! If your answer is a fraction write it as a/b where a is the numerator and b is the denominator. NOTE: your answer must be simplified. *

Answer 1

The missing dimension of the given figure is
`(3)/(4)` inch.

Explanation:

Given,

The length (l) of the cuboid = 2
`(2)/(3)` in

The height (h) = 3
`(1)/(2)` in

The volume (V) = 7 in³

To find the width (b) of the cuboid.

Formula

The volume of a cuboid with l as length, b as width and h as height is = lbh

According to the problem,

lbh = 7

or,
`(8)/(3)`×b×
`(7)/(2)` = 7

or, b = 7×
`(2)/(7)`×
`(3)/(8)`

or, b =
`(3)/(4)`

Hence,

The missing dimension of the given figure is
`(3)/(4)` inch.