Question

A community hall is in the shape of a cuboid.

tile:
The hall is 40 m long, 15m wide and
3 m high.
3 m
total
The community hall needs re-decorating
with new paint for the walls and ceiling,
and new tiles on the floor.
15 m
40 m
A 10 litre tin of paint covers
1 m2 floor tiles cost £3 each.

Work out the total cost of
to re-decorate the community hall.

Answer 1

The total cost of to re-decorate the community hall is £2172.

Explanation:

We have been given that a community hall is in the shape of a cuboid. The hall is 40m long 15m wide and 3m high.

The paint will be required for 4 walls and ceiling.

Let us find area of walls and ceiling.

Are of Walls and Ceiling =
`2(l+b)h+lb=2(40+15)3+(40*15)= 6*55+600= 330+600 =930m^2`

Therefore, the area of walls and ceiling is 930 square meters.

Given: Cost for 10 litre of paint is £10 and 10 litre paint covers 25 square meter. Therefore,

Total Painting cost =
`10 * (930)/(25) = \£372`

Therefore, the total painting cost of wall is £372.

Tiles will be required for floor. Let us find the area of floor.

Area of floor =
`l * b = 40*15 =600m^2`

Given: 1m squared floor tiles costs £3. So,

Total Cost for tiles =
`3*600= \£1800`

Therefore, the total cost for tiles is £1800.

Now let us find total cost of to re-decorate the community hall;

Total Cost = the total painting cost of wall + the total cost for tiles =
`\£1800+\£372= \£2172`

Hence, the total cost of to re-decorate the community hall £2172.