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
विकल्प
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 cubical box has each edge 10 cm and another cuboidal box is 12.5 cm long, 10 cm wide and 8 cm high.
(i) Which box has the greater lateral surface area and by how much?
(ii) Which box has the smaller total surface area and by how much?
How many wooden cubical blocks of side 25 cm can be cut from a log of wood of size 3 m by 75 cm by 50 cm, assuming that there is no wastage?
The volume of a cuboidal box is 48 cm3. If its height and length are 3 cm and 4 cm respectively, find its breadth.
A rectangular field is 70 m long and 60 m broad. A well of dimensions 14 m × 8 m × 6 m is dug outside the field and the earth dug-out from this well is spread evenly on the field. How much will the earth level rise?
The cost of preparing the walls of a room 12 m long at the rate of Rs 1.35 per square metre is Rs 340.20 and the cost of matting the floor at 85 paise per square metre is Rs 91.80. Find the height of the room.
A cuboid has total surface area of 372 cm2 and its lateral surface area is 180 cm2, find the area of its base.
The breadth and height of a rectangular solid are 1.20 m and 80 cm respectively. If the volume of the cuboid is 1.92 m3; find its length.
Find the volume and total surface area of a cube whose each edge is:
(i) 8 cm
(ii) 2 m 40 cm.
The surface area of a cuboid formed by joining face to face 3 cubes of side x is 3 times the surface area of a cube of side x.
