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?
Mensuration
69 Likes

Question

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?

KnowledgeBoat · Accepted Answer

By formula, Volume of cuboidal box = l × b × h Substituting values we get, Volume of box = 20 cm × 16 cm × 24 cm = 7680 cm³ By formula, Volume of cube = (side)³ Substituting values we get, Volume of cubes = 4 cm × 4 cm × 4 cm = 64 cm³ Let no. of cubes be n. So, total volume of cubes = 64n cm³. In order to fill the box with cubes, Volume of cubes = Volume of box ∴ 64n = 7680 ⇒ n = = 120. Hence, 120 cubes can be put into the box.

Mathematics

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?

Mensuration

Related Questions

The length of the longest rod which can be kept inside a rectangular box is 17 cm. If the inner length and breadth of the box are 12 cm and 8 cm respectively, find its inner height.

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.

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?

A certain quantity of wood costs ₹ 25,000 per m³. A solid cubical block of such wood is bought for ₹ 18,225. Calculate the volume of the block and use the method of factor to find the length of one edge of the block.

Mathematics

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?

Mensuration

Related Questions

The length of the longest rod which can be kept inside a rectangular box is 17 cm. If the inner length and breadth of the box are 12 cm and 8 cm respectively, find its inner height.

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.

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?

A certain quantity of wood costs ₹ 25,000 per m3. A solid cubical block of such wood is bought for ₹ 18,225. Calculate the volume of the block and use the method of factor to find the length of one edge of the block.

A certain quantity of wood costs ₹ 25,000 per m³. A solid cubical block of such wood is bought for ₹ 18,225. Calculate the volume of the block and use the method of factor to find the length of one edge of the block.