Advertisements
Advertisements
Question
The lateral surface area of a cube is 256 m2. The volume of the cube is ______.
Options
512 m3
64 m3
216 m3
256 m3
Advertisements
Solution
The lateral surface area of a cube is 256 m2. The volume of the cube is 512 m3.
Explanation:
The formula of the lateral surface area of a cube is 4(edge)2.
So, 4(edge)2 = 256
(edge)2 = `256/4`
(edge)2 = 64
edge = `sqrt(64)` = 8 m
Therefore, volume of cube = (edge)3 = 83 = 512 m3
Hence, the volume of the cube is 512 m3.
APPEARS IN
RELATED QUESTIONS
Find the volume of a cube whose side is 4 cm .
Find the volume of a cube whose side is 1.5 dm .
Cubes A, B, C having edges 18 cm, 24 cm and 30 cm respectively are melted and moulded into a new cube D. Find the edge of the bigger cube D.
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.
The internal length, breadth, and height of a box are 30 cm, 24 cm, and 15 cm. Find the largest number of cubes which can be placed inside this box if the edge of each cube is
(i) 3 cm (ii) 4 cm (iii) 5 cm
The length of the diagonals of a cube is 8√3 cm.
Find its:
(i) edge
(ii) total surface area
(iii) Volume
The length, breadth, and height of a cuboid are in the ratio 6: 5 : 3. If its total surface area is 504 cm2, find its volume.
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.
If the ratio of the sides of two cubes are 2 : 3, then ratio of their surface areas will be
The total surface area of a cube is 96 cm2. The volume of the cube is ______.
