The internal measurements of a box are 10 cm long, 8 cm wide and 7 cm high. How many cubes of side 2 cm can be put into the box?

Since the height of the box is 7 cm, so only 3 cubes can be put height-wise. (If we put 4 cubes, the height becomes 8 cm which is more than the height of the box.) Height of 3 cubes = 3 x 2 = 6 cm ∴ We will only consider height of box up to 6 cm for placing the cubes inside it. By formula, Volume of cuboidal box = l × b × h Substituting values we get, Volume of box = 10 cm × 8 cm × 6 cm = 480 cm 3 By formula, Volume of cube = (side) 3 Substituting values we get, Volume of cubes = 2 cm × 2 cm × 2 cm = 8 cm 3 Let no. of cubes be n. So, total volume of cubes = 8n cm 3 . In order to fill the box with cubes, Volume of cubes = Volume of box ∴ 8n = 480 ⇒ n = = 60. Hence, 60 cubes can be put into the box.

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Mathematics

The internal measurements of a box are 10 cm long, 8 cm wide and 7 cm high. How many cubes of side 2 cm can be put into the box?

Mensuration

Related Questions

A certain quantity of wood costs ₹250 per m³. A solid cubical block of such wood is bought for ₹182.25. Calculate the volume of the block and use the method of factors to find the length of one edge of the block.

A cube of 11 cm edge is immersed completely in a rectangular vessel containing water. If the dimensions of the base of the vessel are 15 cm × 12 cm, find the rise in the water level in centimeters correct to 2 decimal places, assuming that no water over flows.

The internal measurements of a box are 20 cm long, 16 cm wide and 24 cm high. How many 4 cm cubes could be put into the box?

A closed rectangular box has inner dimensions 90 cm by 80 cm by 70 cm. Calculate its capacity and the area of tin-foil needed to line its inner surface.

Mathematics

The internal measurements of a box are 10 cm long, 8 cm wide and 7 cm high. How many cubes of side 2 cm can be put into the box?

Mensuration

Related Questions

A certain quantity of wood costs ₹250 per m3. A solid cubical block of such wood is bought for ₹182.25. Calculate the volume of the block and use the method of factors to find the length of one edge of the block.

A cube of 11 cm edge is immersed completely in a rectangular vessel containing water. If the dimensions of the base of the vessel are 15 cm × 12 cm, find the rise in the water level in centimeters correct to 2 decimal places, assuming that no water over flows.

The internal measurements of a box are 20 cm long, 16 cm wide and 24 cm high. How many 4 cm cubes could be put into the box?

A closed rectangular box has inner dimensions 90 cm by 80 cm by 70 cm. Calculate its capacity and the area of tin-foil needed to line its inner surface.

A certain quantity of wood costs ₹250 per m³. A solid cubical block of such wood is bought for ₹182.25. Calculate the volume of the block and use the method of factors to find the length of one edge of the block.