Advertisements
Advertisements
Question
The total surface area of a cube is 96 cm2. The volume of the cube is ______.
Options
8 cm3
512 cm3
64 cm3
27 cm3
Solution
The total surface area of a cube is 96 cm2. The volume of the cube is 64 cm3.
Explanation:
Surface area of a cube = 96 cm2
Surface area of a cube = 6 (Side)2 = 96
⇒ (Side)2 = 16
⇒ (Side) = 4 cm ...[Taking positive square root because side is always a positive quantity]
Volume of cube = (Side)3 = (4)3 = 64 cm3
Hence, the volume of the cube is 64 cm3.
APPEARS IN
RELATED QUESTIONS
A cube A has side thrice as long as that of cube B. What is the ratio of the volume of cube A to that of cube B?
Fill in the blank in the following so as to make the statement true:
The volume of a cube of side 8 cm is ........
Fill in the blank in the following so as to make the statement true:
The volume of a wooden cuboid of length 10 cm and breadth 8 cm is 4000 cm3. The height of the cuboid is ........ cm.
Find the volume of a cube whose surface area is 96 cm2.
Find the volume of a cube whose surface area is 150 m2 .
The dimensions of a rectangular box are in the ratio 4: 2 : 3. The difference between the cost of covering it with paper at Rs. 12 per m2 and with paper at the rate of 13.50 per m2 is Rs. 1,248. Find the dimensions of the box.
The volume of a cube is 1331 cm3. Find its total surface area.
If the total surface area of a cube is 2400 cm2 then, find its lateral surface area
The lateral surface area of a cube of side 12 cm 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?
