Advertisements
Advertisements
प्रश्न
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.
विकल्प
True
False
Advertisements
उत्तर
This statement is False.
Explanation:
Three cubes having side x are joined face-to-face, then the cuboid so formed has the same height and breadth as the cubes but its length will be thrice that of the cubes.
Hence, the length, breadth and height of the cuboid so formed are 3x, x and x, respectively.
Then, its surface area = 2(lb + bh + hl)
= 2(3x × x + x × x + x × 3x )
= 2(3x2 + x2 + 3x2)
= 2 × 7x2
= 14x2
Now, the surface area of the cube of side x = 6 (Side)2 = 6x2.
Hence, the statement is false.
APPEARS IN
संबंधित प्रश्न
Find the lateral surface area and total surface area of a cube of edge 10 cm.
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.
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?
The central hall of a school is 80 m long and 8 m high. It has 10 doors each of size 3 m × 1.5 m and 10 windows each of size 1.5 m × 1 m. If the cost of white-washing the walls of the hall at the rate of Rs 1.20 per m2 is Rs 2385.60, fidn the breadth of the hall.
Find the length of the longest rod that can be placed in a room 12 m long, 9 m broad and 8 m high.
The areas of three adjacent faces of a cuboid are x, y and z. If the volume is V, prove that V2 = xyz.
The length, width and height of a rectangular solid are in the ratio of 3 : 2 : 1. If the volume of the box is 48cm3, the total surface area of the box is
A solid cuboid of metal has dimensions 24 cm, 18 cm, and 4 cm. Find its volume.
The external dimensions of an open wooden box are 65 cm, 34 cm, and 25 cm. If the box is made up of wood 2 cm thick, find the capacity of the box and the volume of wood used to make it.
