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
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
If each edge of a cube is doubled, how many times will its volume increase?
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 edge is 6 m .
Find the volume of a cube whose surface area is 96 cm2.
Side of a cube is 4.5 cm. Find the surface area of all vertical faces and total surface area of the cube.
The dimensions of a rectangular box are in the ratio 4: 2 : 3. The difference between the cost of covering it with paper at Rs. 12 per m2 and with paper at the rate of 13.50 per m2 is Rs. 1,248. Find the dimensions of the box.
The edges of three solid cubes are 6 cm, 8 cm, and 10 cm. These cubes are melted and recast into a single cube. Find the edge of the resulting cube.
The total surface area of a cube is 294cm2. Find its volume.
The total surface area of a cube is 96 cm2. The volume of the cube is ______.
The surface area of a cube formed by cutting a cuboid of dimensions 2 × 1 × 1 in 2 equal parts is 2 sq. units.
