Advertisements
Advertisements
Question
A cube of side 5 cm is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the original cube to that of the sum of the surface areas of the smaller cubes?
Solution
Surface area of a cube = 6a2, where a is side of a cube.
... Side of cube = 5 cm
... Surface area of the cube = 6 × (5)2 = 6 × 25 = 150 cm2
Now, surface area of the cube with side 1 cm = 6 × (1)2 = 6 cm2
... Surface area of 5 cubes with side 1 cm = 5 × 6 = 30 cm2
Ratio of the surface area of the original cube to that of the sum of the surface area of the smaller cubes
= `30/150`
= `3/15`
= 1 : 5
APPEARS IN
RELATED QUESTIONS
Find the volume of a cube whose side is 1.5 dm .
Find the volume of a cube whose side is 25 mm .
Fill in the blank in the following so as to make the statement true:
1 litre = ........ cu. cm
Find the surface area of a cube whose volume is 343 m3.
Find the surface area of a wooden box whose shape is of a cube, and if the edge of the box is 12 cm.
Find the cost of sinking a tubewell 280 m deep, having diameter 3 m at the rate of Rs 3.60 per cubic metre. Find also the cost of cementing its inner curved surface at Rs 2.50 per square metre.
Three equal cubes are placed adjacently in a row. Find the ratio of the total surfaced area of the resulting cuboid to that of the sum of the total surface areas of the three cubes.
The lateral surface area of a cube of side 12 cm is
The total surface area of a cube is 96 cm2. The volume of the cube is ______.
A cube of side 5 cm is painted on all its faces. If it is sliced into 1 cubic centimetre cubes, how many 1 cubic centimetre cubes will have exactly one of their faces painted?
