Advertisements
Advertisements
Question
A solid metallic cuboid of dimensions 9 m × 8 m × 2 m is melted and recast into solid cubes of edge 2 m. Find the number of cubes so formed.
Solution
Volume of cuboid, V1 =\[l \times b \times h\] = \[9 m \times 8 m \times 2 m = 144 m^3\]
Volume of cube, V2=\[a^3 = 2^3 = 8 m^3\]
Number of cubes formed=\[\frac{Volume of Cuboid}{Volume of cube} = \frac{V_1}{V_2} = \frac{144 m^3}{8 m^3} = 18\]
APPEARS IN
RELATED QUESTIONS
A gulab jamun, contains sugar syrup up to about 30% of its volume. Find approximately how much syrup would be found in 45 gulab jamuns, each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm (see the given figure). Use [π = 22/7]
The difference between outer and inner curved surface areas of a hollow right circular cylinder 14cm long is 88cm2. If the volume of metal used in making cylinder is 176cm3.find the outer and inner diameters of the cylinder____?
12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 2 cm height. The diameter of each sphere is
Three metallic cubes whose edges are 3 cm, 4 cm and 5 cm, are melted and recast into a single large cube. Find the edge of the new cube formed.
The diameter of the base of a cone is 42 cm and its volume is 12936 cm3. Its height is
Find the perimeter and area of the shaded portion of the following diagram; give your answer correct to 3 significant figures. (Take π = 22/7).
A circus tent is cylindrical to a height of 3 meters and conical above it. If its diameter is 105 m and the slant height of the conical portion is 53 m calculate the length of the canvas which is 5m wide to make the required tent.
In a swimming pool measuring 90 m × 40 m, 150 men take a dip. If the average displacement of water by a man is 8 m3, then rise in water level is ______.
A solid ball is exactly fitted inside the cubical box of side a. The volume of the ball is `4/3 pia^3`.
A solid is in the shape of a right-circular cone surmounted on a hemisphere, the radius of each of them being 7 cm and the height of the cone is equal to its diameter. Find the volume of the solid.
