Advertisements
Advertisements
Question
The square on the diagonal of a cube has an area of 1875 sq. cm. Calculate:
(i) The side of the cube.
(ii) The total surface area of the cube.
Advertisements
Solution
(i) If the side of the cube = a cm
The length of its diagonal = a√3 cm
And,
( a√3 )2 = 1875
a = 25 cm
(ii) Total surface area of the cube = 6a2
= 6( 25 )2 = 3750 cm2.
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 8 cm .
Find the volume of a cube whose side is 1.2 m .
Find the volume of a cube whose side is 25 mm .
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 cu.dm = ........ cu. mm
Total surface area of a cube is 864 sq.cm. Find its volume.
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.
The total surface area of a cube is 96 cm2. The volume of the cube is ______.
