A fish tank is in the shape of an open glass cuboid 30cm deep with a base of 16cm by 17cm these measurement being external.If the glass is 0.5cm thick and it's mass is 3g/cmcube,find the capacity of the tank in litres
the density of the glass does not matter, since you have the volume already.
Since the glass is 0.5 cm on each side. the internal volume is
(16-1)(17-1)(30-0.5) cm^3 * 1L/1000cm^3
To find the capacity of the tank in liters, we need to calculate the volume of the glass cuboid and then subtract the volume of the glass.
First, let's calculate the volume of the glass cuboid. The base of the cuboid has dimensions 16cm by 17cm, and the depth is 30cm. The volume formula for a cuboid is length × width × height.
Volume of glass cuboid = 16cm × 17cm × 30cm
= 8160 cm³
Next, let's calculate the volume of the glass. The thickness of the glass is given as 0.5cm. Since the glass forms the walls of the cuboid, we need to subtract the volume of the base from the overall volume.
Volume of glass = (16cm + 2 × 0.5cm) × (17cm + 2 × 0.5cm) × 30cm - 16cm × 17cm × 30cm
= (17cm) × (18cm) × 30cm - 16cm × 17cm × 30cm
= 9180 cm³ - 8160 cm³
= 1020 cm³
Finally, let's convert the volume from cm³ to liters. We know that 1 liter is equal to 1000 cm³.
Capacity of the tank = (8160 cm³ - 1020 cm³) ÷ 1000
= 7140 cm³ ÷ 1000
= 7.14 liters
Therefore, the capacity of the tank is 7.14 liters.