The areas of three adjacent faces of a box are 120 cm 2 , 72 cm 2 and 60 cm 2 . Find the volume of the box.

It is given that the areas of three adjacent faces of a box are 120 cm 2 , 72 cm 2 and 60 cm 2 . Let `l` be the length, `b` be the breadth and `h` be the height of box. So, l x b = 120 cm 2 ...............(1) b x h = 72 cm 2 ...............(2) h x l = 60 cm 2 ...............(3) Multiplying equation (1), (2) and (3), we get (l x b) x (b x h) x (h x l) = 120 x 72 x 60 cm 6 ⇒ l 2 x b 2 x h 2 = 518400 cm 6 ⇒ l x b x h = cm 3 ⇒ l x b x h = 720 cm 3 As we know that volume of box = l x b x h Volume of box = 720 cm 3 Hence, the volume of the box is 720 cm 3 .

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Mathematics

The areas of three adjacent faces of a box are 120 cm², 72 cm² and 60 cm². Find the volume of the box.

Surface Area, Volume, Capacity

Related Questions

In a building, there are 24 cylindrical pillars. For each pillar, radius is 28 cm and height is 4 m. Find the total cost of painting the curved surface area of the pillars at the rate of ₹ 8 per m².

The ratio between the curved surface area and the total surface area of a cylinder is 1 : 2. Find the volume of the cylinder, given its total surface area is 616 cm².

Eight identical cubes, each of edge 5 cm, are joined end to end. Find the total surface area and the volume of the resulting cuboid.

A rectangular swimming pool 20 m long, 10 m wide and 2 m deep is to be tiled. If each tile is 40 cm x 40 cm, find the number of tiles required.

Mathematics

The areas of three adjacent faces of a box are 120 cm2, 72 cm2 and 60 cm2. Find the volume of the box.

Surface Area, Volume, Capacity

Related Questions

In a building, there are 24 cylindrical pillars. For each pillar, radius is 28 cm and height is 4 m. Find the total cost of painting the curved surface area of the pillars at the rate of ₹ 8 per m2.

The ratio between the curved surface area and the total surface area of a cylinder is 1 : 2. Find the volume of the cylinder, given its total surface area is 616 cm2.

Eight identical cubes, each of edge 5 cm, are joined end to end. Find the total surface area and the volume of the resulting cuboid.

A rectangular swimming pool 20 m long, 10 m wide and 2 m deep is to be tiled. If each tile is 40 cm x 40 cm, find the number of tiles required.

The areas of three adjacent faces of a box are 120 cm², 72 cm² and 60 cm². Find the volume of the box.

In a building, there are 24 cylindrical pillars. For each pillar, radius is 28 cm and height is 4 m. Find the total cost of painting the curved surface area of the pillars at the rate of ₹ 8 per m².

The ratio between the curved surface area and the total surface area of a cylinder is 1 : 2. Find the volume of the cylinder, given its total surface area is 616 cm².