Advertisements
Advertisements
प्रश्न
Volume of a cuboid is 12 cm3. The volume (in cm3) of a cuboid whose sides are double of the above cuboid is
पर्याय
24
48
72
96
Advertisements
उत्तर
Let,
l → Length of the first cuboid
b → Breadth of the first cuboid
h → Height of the first cuboid
Volume of the cuboid is 12 cm3
Dimensions of the new cuboid are,
Length (L) = 2l
Breadth (B) = 2b
Height (H) = 2h
We are asked to find the volume of the new cuboid
We know that,
Volume of the new cuboid,
V' = LBH
= (2l)(2b)(2h)
= 8(lbh)
= 8V { Sincr , V = lbh}
= 8 × 12 { Since , V = 12 cm 3 }
= 96 cm3
Thus volume of the new cuboid is 96 cm3.
APPEARS IN
संबंधित प्रश्न
A closed iron tank 12 m long, 9 m wide and 4 m deep is to be made. Determine the cost of iron sheet used at the rate of Rs. 5 per metre sheet, sheet being 2 m wide.
The length of a hall is 18 m and the width 12 m. The sum of the areas of the floor and the flat roof is equal to the sum of the areas of the four walls. Find the height of the wall.
The dimensions of a rectangular box are in the ratio of 2 : 3 : 4 and the difference between the cost of covering it with sheet of paper at the rates of Rs 8 and Rs 9.50 per m2 is Rs. 1248. Find the dimensions of the box.
On a particular day, the rain fall recorded in a terrace 6 m long and 5 m broad is 15 cm. The quantity of water collected in the terrace is
The dimensions of a Cinema Hall are 100 m, 60 m, and 15 m. How many persons can sit in the hall if each requires 150 m3 of air?
A solid cuboid of metal has dimensions 24 cm, 18 cm, and 4 cm. Find its volume.
The dimension of a class-room are; length = 15 m, breadth = 12 m and height = 7.5 m. Find, how many children can be accommodated in this class-room; assuming 3.6 m3 of air is needed for each child.
Find the volume of a cuboid whose diagonal is `3sqrt(29)"cm"` when its length, breadth and height are in the ratio 2 : 3 : 4.
A rectangular sheet of dimensions 25 cm × 7 cm is rotated about its longer side. Find the volume and the whole surface area of the solid thus generated.
