The first aquarium has the shape of a rectangular parallelepiped with dimensions of 50 cm, 30 cm, and 40 cm.

| January 14, 2021 | education

The first aquarium has the shape of a rectangular parallelepiped with dimensions of 50 cm, 30 cm, and 40 cm. And the second is a cube shape with an edge of 40 cm. Which of them has more volume and by how much.

For comparison, we should initially find both the volume of the parallelepiped and the volume of the cube, let’s start with the parallelepiped:
V = a * b * c, where in our problem the length of side a is 50 cm, length b is 30 cm, and length c is 40 cm, we find the volume:
V = 50 * 30 * 40 = 60,000 cm3.
Find the volume of the cube:
V = a ^ 3, where a is the length of the edge of the cube, in this case 40 cm.
V = 40 ^ 3 = 64000 cm3.
We need to compare the volumes of these bodies, we see that the volume of the cube is 4000 cm3 larger than the volume of the parallelepiped.
Answer: the volume of the cube is 4000 cm3 more.



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