The aquarium has the shape of a rectangular parallelepiped. Its side walls are glass.

| January 28, 2021 | education

The aquarium has the shape of a rectangular parallelepiped. Its side walls are glass. Determine the volume of the aquarium and the surface area of the glass, if the aquarium is 50 cm long, 30 cm wide and 40 cm high.

The formula for finding the volume of a rectangular parallelepiped:

V = a * b * c, where a is the width, b is the length, c is the height of the rectangular parallelepiped.

The formula for finding the surface area of ​​a rectangular parallelepiped:

S = 2 * (a * b + b * c + a * c), where a is the width, b is the length, c is the height of the rectangular parallelepiped.

Decision:

1) Find the volume of the aquarium:

V = 50 * 30 * 40 = 60,000 (cm ^ 3) – the volume of the aquarium.

60,000 cm ^ 3 = 0.06 m ^ 3.

2) Find the surface area of ​​the aquarium:

S = 2 * (30 * 40 + 40 * 50 + 30 * 50) = 2 * (1200 + 2000 + 1500) = 2 * 4700 = 9 400 (cm ^ 2) – the surface area of ​​the aquarium.

9 400 cm ^ 2 = 0.94 m ^ 2 /

Answer: the volume of the aquarium is 0.06 m ^ 3, the surface area is 0.94 m ^ 2.



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