Question

1. A filing cabinet measures 5

feet high by 18 inches wide by

2 feet deep. What is the

volume of the filing cabinet?

Answer 1

Volume of the filling cabinet = 15
`ft^(3)`

Explanation:

volume = d * b * h

and the filling cabinet is

height = 5ft

width = 18 inch

depth = 2ft

we will first convert the width from inches to feet

where 1 ft -------- 12 inches

(x) ft ---------18 inches

therefore by cross multiplying

12 * (X) = 18 * 1

12 (X) = 18

X = 18 / 12

X = 1.5 ft

so Volume = 2 * 1.5 * 5 = 15 cubic feet or 15
`ft^(3)`

Answer 2

15 feet

Explanation:

From the question above,we are asked to find the volume of a cabinet with the following dimensions:

Height is five feet

Width is eighteen inches

And a depth of two feet.

Here it is quite obvious that we ate dealing with a cuboidal object since its dimensions differ from one another.

So volume of a cuboid as we all know is :

Length multiplied by width and then height

We should head straight away to the calculations, but we need to remember that the width is in inches and needs to be converted to feet

1 inch = 1/12 feet

18 inches = 18× 1/12

= 1.5 feet

L×W×H

= 1.5×5×2

= 15 feet