Advertisements
Advertisements
प्रश्न
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
उत्तर
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
संबंधित प्रश्न
Find the volume of a cube whose side is 1.5 dm .
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 kl = ....... m3
Three cubes whose edges measure 3 cm, 4 cm, and 5 cm respectively are melted to form a new cube. Find the surface area of the new cube formed.
Total surface area of a cube is 864 sq.cm. Find its volume.
The edges of three cubes of metal are 3 cm, 4 cm, and 5 cm. They are melted and formed into a single cube. Find the edge of the new cube.
The dimensions of a solid metallic cuboid are 72 cm × 30 cm × 75 cm. It is melted and recast into identical solid metal cubes with each edge 6 cm. Find the number of cubes formed.
Also, find the cost of polishing the surfaces of all the cubes formed at the rate Rs. 150 per sq. m.
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.
If the lateral surface area of a cube is 600 cm2, then the total surface area is
A cube of side 5 cm is painted on all its faces. If it is sliced into 1 cubic centimetre cubes, how many 1 cubic centimetre cubes will have exactly one of their faces painted?
