Advertisements
Advertisements
Question
Volume of a cuboid is 12 cm3. The volume (in cm3) of a cuboid whose sides are double of the above cuboid is
Options
24
48
72
96
Advertisements
Solution
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
RELATED QUESTIONS
How many soap cakes can be placed in a box of size 56 cm × 0.4 m × 0.25 m, if the size of a soap cake is 7 cm × 5 cm × 2.5 cm?
Find the volume in cubic metre (cu. m) of the cuboid whose dimensions is length = 10 m, breadth = 25 dm, height = 50 cm.
A water tank is 3 m long, 2 m broad and 1 m deep. How many litres of water can it hold?
Find the surface area of a cuboid whose length = 10 cm, breadth = 12 cm, height = 14 cm.
If the length of a diagonal of a cube is `8 sqrt(3)` cm, then its surface area is
The length, breadth, and height of a cuboid are in the ratio 5 : 3: 2. If its volume is 240 cm3; find its dimensions. Also, find the total surface area of the cuboid.
A room 5 m long, 4.5 m wide, and 3.6 m high have one door 1.5 m by 2.4 m and two windows, each 1 m by 0.75 m. Find :
(i) the area of its walls, excluding door and windows ;
(ii) the cost of distempering its walls at the rate of Rs.4.50 per m2.
(iii) the cost of painting its roof at the rate of Rs.9 per m2.
The diameter of a garden roller is 1.4 m and it 2 m long. Find the maximum area covered by its 50 revolutions?
Three equal cubes of sides 5cm each are placed to form a cuboid. Find the volume and the total surface area of the cuboid.
