Advertisements
Advertisements
Question
Three cubes of each side 4 cm are joined end to end. Find the surface area of the resulting cuboid.
Advertisements
Solution
Side of each cube (a) = 4 cm
We need to find the surface area of the resulting cuboid
Dimensions of the resulting cuboid,
Length (l) = 3a
Breadth (b) = a
Height (h) = a
Surface area of the cuboid,
`=2(lb + bh + hl)`
`=2[(3a) a +(a)(a) +a(3a)]`
`=2(7a^2)`
`=14a^2`
`= 14 xx 4^2`
`=224 cm^2`
Surface area of the cuboid is `224 cm^2`.
APPEARS IN
RELATED QUESTIONS
A small indoor greenhouse (herbarium) is made entirely of glass panes (including base) held together with tape. It is 30 cm long, 25 cm wide and 25 cm high. What is the area of the glass?
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 hall.
Find the volume in cubic metre (cu. m) of the cuboid whose dimensions islength = 4 m, breadth = 2.5 m, height = 50 cm.
How much clay is dug out in digging a well measuring 3 m by 2 m by 5 m?
A classroom is 7 m long, 6 m broad and 3.5 m high. Doors and windows occupy an area of 17 m2. What is the cost of white-washing the walls at the rate of Rs 1.50 per m2.
If two cubes each of side 6 cm are joined face to face, then find the volume of the resulting cuboid.
If the perimeter of each face of a cube is 32 cm, find its lateral surface area. Note that four faces which meet the base of a cube are called its lateral faces.
If the areas of the adjacent faces of a rectangular block are in the ratio 2 : 3 : 4 and its volume is 9000 cm3, then the length of the shortest edge is
The length breadth and height of a cuboid are in the ratio of 3 : 3 : 4. Find its volume in m3 if its diagonal is `5sqrt(34)"cm"`.
