Question

Janine keeps her jewelry in a jewelry box like thefigure below. Determine the volume of Janine'sjewelry box.33 in.In5 in.9, in.

Answer 1

`167(21)/(32)`

Explanation:

A rectangular prism has 3 dimensions, which are height, length and width.

The volume is the multiplication of these 3 dimensions. So

V = l*w*h

In this question:

The height(h) is:

`3(5)/(8)=3+(5)/(8)=((8)/(1)\ast3+(8)/(8)\ast5)/(8)=(24+5)/(8)=(29)/(8)`

The width(w) is 5

The length(l) is:

`9(1)/(4)=9+(1)/(4)=((9)/(1)\ast4+(4)/(4)\ast1)/(4)=(36+1)/(4)=(37)/(4)`

The volume is:

`V=h\ast w\ast l=(29)/(8)\ast5\ast(37)/(4)=(29\ast5\ast37)/(8\ast4)=(5365)/(32)`

As a mixed number:

5365/32 = 167.65

Integer value: 167

Remained of the division = (5365 - 167*32) = 21

So the answer, as a mixed number, is:

`167(21)/(32)`