Advertisements
Advertisements
Question
Suppose that there are two cubes, having edges 2 cm and 4 cm, respectively. Find the volumes V1and V2 of the cubes and compare them.
Advertisements
Solution
\[\text { The edges of the two cubes are 2 cm and 4 cm } . \]
\[\text { Volume of the cube of side 2 cm, V_1 = (side ) }^3 = (2 )^3 = 8 {cm}^3 \]
\[\text { Volume of the cube of side 4 cm }, V_2 = (\text { side })^3 = (4 )^3 = 64 {cm}^3 \]
We observe the following:
\[ V_2 = 64 {cm}^3 = 8 \times 8 {cm}^3 = 8 \times V_1 \]
\[ \therefore V_2 = 8 V_1\]
APPEARS IN
RELATED QUESTIONS
Find the volume of a cube whose side is 25 mm .
Find the surface area of a cube whose edge is 1.2 m.
Each face of a cube has a perimeter equal to 32 cm. Find its surface area and its volume.
How many bricks will be required for constructing a wall which is 16 m long, 3 m high, and 22.5 cm thick, if each brick measures 25 cm x 11.25 cm x 6 cm?
The volume of a cube is 1331 cm3. Find its total surface area.
A cuboid is 25cm long, 15cm board and 9cm high. Find the whole surface of a cube having its volume equal to that of the cuboid.
Three cubes of sides x cm, 8cm and 10cm respectively are melted and formed into a single cube of edge 12cm, Find 'x'.
Three equal cubes are placed adjacently in a row. Find the ratio of the total surface area of the resulting cuboid to that of the sum of the total surface areas of the three cubes.
A cube of side 3 cm painted on all its faces, when sliced into 1 cubic centimetre cubes, will have exactly 1 cube with none of its faces painted.
A river 2 m deep and 45 m wide is flowing at the rate of 3 km per hour. Find the amount of water in cubic metres that runs into the sea per minute.
