Advertisements
Advertisements
Question
A cuboid is 25cm long, 15cm board and 9cm high. Find the whole surface of a cube having its volume equal to that of the cuboid.
Advertisements
Solution
Given that:
Length of the cuboid = 25cm
Breadth of the cuboid = 15cm
Height of the cuboid = 9cm &
Volume of cube = volume of cuboid
We know that volume of Cuboid
= l x b x h
= 25 x 15 x 9
= 375cm3
∴ Volume of cube = 3375cm3
But we know that volume of cube = l3
i.e.,
l3 = 3375
l = `root(3)(3375)`
= 15cm
∴ Side (l) = 15cm
Now,
T.S.A of cube
= 6l2
= 6 x 15 x 15
= 1350cm2.
APPEARS IN
RELATED QUESTIONS
Find the volume in cubic decimetre of the cube whose side is 2 dm 5 cm .
Fill in the blank in the following so as to make the statement true:
1 kl = ........ cu. dm = ........ cu. cm.
Find the surface area of a cube whose edge is 6 m .
Three equal cubes are placed adjacently in a row. Find the ratio of the total surfaced area of the resulting cuboid to that of the sum of the total surface areas of the three cubes.
A square plate of side 'x' cm is 8 mm thick. If its volume is 2880 cm3; find the value of x.
When the length of each side of a cube is increased by 3 cm, its volume is increased by 2457 cm3. Find its side. How much will its volume decrease, if the length of each side of it is reduced by 20%?
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.
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.
A cube of side 3 cm painted on all its faces, when sliced into 1 cubic centimetre cubes, will have exactly 1 cube with none of its faces painted.
