Advertisements
Advertisements
Question
The total surface area of a cube is 864 cm2. Find its volume.
Advertisements
Solution
Let the side of the cube be 'a' cm
∴ Total surface area of a cube = 6a2
∴ 864 = 6a2 ...(Given)
a2 = `(864)/(6)`
a2 = 144
a = `sqrt(144)` ...(Taking square roots on both sides)
∴ a = 12cm
Volume of a cube
= a3
= 123
= 1728cm3
∴ Volume of the cube = 1728cm3.
APPEARS IN
RELATED QUESTIONS
Describe how the two figures at the right are alike and how they are different. Which box has larger lateral surface area?
Find the volume of a cube whose side is 4 cm .
Find the volume in cubic decimetre of the cube whose side is 1.5 m.
Find the volume in cubic decimetre of the cube whose side is 75 cm.
Fill in the blank in the following so as to make the statement true:
1 ml = ........ cu. cm
Find the surface area of a cube whose volume is 343 m3.
The length of the diagonals of a cube is 8√3 cm.
Find its:
(i) edge
(ii) total surface area
(iii) Volume
Find the volume of a cube whose diagonals is `sqrt(48)"cm"`.
Three cubes of sides x cm, 8cm and 10cm respectively are melted and formed into a single cube of edge 12cm, Find 'x'.
If the length of the diagonal of a cube is `6sqrt(3)` cm, then the length of the edge of the cube is 3 cm.
