Advertisements
Advertisements
Question
Total surface area of a cube is 864 sq.cm. Find its volume.
Advertisements
Solution
Let the edge of the cube be l cm.
Total surface area of the cube = 864 cm2
∴ 6l2 = 864 cm2
⇒ l2 = `864/6`
⇒ l2 = 144
⇒ l = `sqrt 144`
⇒ l = 12 cm
∴ Volume of the cube = l3
= (12)3
= 1728 cm3
Thus, the volume of the cube is 1728 cm3.
APPEARS IN
RELATED QUESTIONS
If each edge of a cube is doubled, how many times will its surface area increase?
Find the volume of a cube whose side is 4 cm .
Find the volume of a cube whose side is 1.5 dm .
Find the volume of a cube whose side is 1.2 m .
What will happen to the volume of a cube, if its edge is halved ?
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:
1 cu.dm = ........ cu. mm
Fill in the blank in the following so as to make the statement true:
1 cu. km = ........ cu. m
Fill in the blank in the following so as to make the statement true:
1 kl = ........ cu. dm = ........ cu. cm.
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 ratio between the lengths of the edges of two cubes is in the ratio 3: 2. Find the ratio between their:
(i) total surface area
(ii) volume.
The total surface area of a cube is 864 cm2. Find its volume.
Three metal cubes with edges 6cm, 8cm and 10cm respectively are melted together and formed into a single cube. Find the diagonal of this cube.
If the ratio of the sides of two cubes are 2 : 3, then ratio of their surface areas will be
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?
A cube of side 4 cm is cut into 1 cm cubes. What is the ratio of the surface areas of the original cubes and cut-out cubes?
The surface area of a cube formed by cutting a cuboid of dimensions 2 × 1 × 1 in 2 equal parts is 2 sq. units.
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?
