Advertisements
Advertisements
Question
The length of the diagonals of a cube is 8√3 cm.
Find its:
(i) edge
(ii) total surface area
(iii) Volume
Advertisements
Solution
(i) Length of diagonal of a cube = `8sqrt(3)` cm
Length of edge = `(8sqrt(3))/sqrt(3)` = 8 cm
(ii) Total surface area = 6a2 = 6 x 82 = 6 x 64 cm2 = 384 cm2
(iii) Volume = a3 = (8)3= 512 cm3
APPEARS IN
RELATED QUESTIONS
Suppose that there are two cubes, having edges 2 cm and 4 cm, respectively. Find the volumes V1and V2 of the cubes and compare them.
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 2 dm 5 cm .
Find the surface area of a cube whose volume is 343 m3.
Find the volume of a cube whose surface area is 150 m2 .
Three solid cubes of edges 6 cm, 10 cm, and x cm are melted to form a single cube of edge 12 cm, find the value of x.
A solid cube of side 12 cm is cut into 8 identical cubes. What will be the side of the new cube? Also, find the ratio between the surface area of the original cube and the total surface area of all the small cubes formed.
One side of a cubic box is 0.4 m. How much will it cost to paint the outer surface of the box at the rate of 50 rupees per sqm?
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 ______.
