Mathematics: A community hall is in the shape of a cuboid the hall is 40 m long, 15m wide and 3m high the community hall needs re decorating with new paint for the walls and ceiling and new tiles on the floor a 10l tin of paint covers 25m^2 and costs £10 1m^2 floor tiles cost £3 each work out the total cost of paint and tiles needed to re decorate the community hall

A community hall is in the shape of a cuboid the

abby2572

13.10.2020

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

Step-by-step 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 = $2(l+b)h+lb=2(40+15)3+(40\times15)= 6\times55+600= 330+600 =930m^2$

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 = $10 \times \frac{930}{25} = \£372$

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 = $l \times b = 40\times15 =600m^2$

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

Total Cost for tiles = $3\times600= \£1800$

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.

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