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 $\frac{3}{4}$ inch.

Step-by-step explanation:

Given,

The length (l) of the cuboid = 2$\frac{2}{3}$ in

The height (h) = 3$\frac{1}{2}$ 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, $\frac{8}{3}$×b×$\frac{7}{2}$ = 7

or, b = 7×$\frac{2}{7}$×$\frac{3}{8}$

or, b = $\frac{3}{4}$

Hence,

The missing dimension of the given figure is  $\frac{3}{4}$ inch.