Question

Baytown Village Stone Creations is making a custom stone bench. the recommended height for the bench is 18 in. the depth of the stone bench is 3 3/8 in. Each of the two supporting legs is made up of three stacked stones. Two of the stones measure 3 1/2in. and 5 1/4 in. how much must the third stone measure?

Answer 1

x = tex]5\frac{\textup{7}}{\textup{8}}\ in[/tex]

Explanation:

Given:

Total height of the bench = 18 in

Depth of the stone bench =
`3\frac{\textup{3}}{\textup{8}}\ in` =
`\frac{\textup{27}}{\textup{8}}\ in` = 3.375 in

Measure of stones =
`3\frac{\textup{1}}{\textup{2}}\ in` =
`\frac{\textup{7}}{\textup{2}}\ in` = 3.5 in

measure of another stone =
`5\frac{\textup{1}}{\textup{4}}\ in` =
`\frac{\textup{21}}{\textup{4}}\ in` = 5.25 in

let the height of the third stone be 'x'

Now,

The total height of the bench = depth of bench + Measure of two stones + x

18 = 3.375 + 3.5 + 5.25 + x

or

x = 18 - 12.125

or

x = 5.875 in

or

x = tex]5\frac{\textup{7}}{\textup{8}}\ in[/tex]