Advertisements
Advertisements
Question
Two cubes, each of volume 512 cm3 are joined end to end. Find the surface area of the resulting cuboid.
Advertisements
Solution
Given that
Volume of cube = `512 cm^3`
⇒`"side"^3= 512`
⇒`"side"^3=8^3`
⇒`"side"^3 = 8cm`
Dimensions of new cuboid formed
`l=8+8=16 cm,b= 8cm,h=8cm`
`"Surface area"= 2(lb+bh+hl) `
`2[16(8)+8(8)+16(8)]=2[256+64]`
`= 640cm^2`
`∴"Surface area is 640cm"^2`
APPEARS IN
RELATED QUESTIONS
A cuboidal vessel is 10 m long and 8 m wide. How high must it be made to hold 380 cubic metres of a liquid?
A cuboidal water tank is 6 m long, 5 m wide and 4.5 m deep. How many litres of water can it hold?
A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edges of the two smaller cubes are 6 cm and 8 cm, find the edge of the third smaller cube.
A village having a population of 4000 requires 150 litres of water per head per day. It has a tank measuring 20 m × 15 m × 6 m. For how many days will the water of this tank last?
A godown measures 40m × 25 m × 10 m. Find the maximum number of wooden crates each measuring 1.5 m
× 1.25 m × 0.5 m that can be stored in the godown.
The length, breadth and depth of a pond are 20.5 m, 16 m and 8 m respectively. Find the capacity of the pond in litres
The number of bricks each measuring 50 cm × 30 cm × 20 cm that will be required to build a wall whose dimensions are 5 m × 3 m × 2 m is
A truck carrying 7.8 m3 concrete arrives at a job site. A platform of width 5 m and height 2 m is being contructed at the site. Find the length of the platform, constructed from the amount of concrete on the truck?
How many bricks of size 22 cm × 10 cm × 7 cm are required to construct a wall 11 m long, 3.5 m high and 40 cm thick, if the cement and sand used in the construction occupy (1/10)th part of the wall?
