Advertisements
Advertisements
प्रश्न
The surface area of a cuboid formed by joining two cubes of side a face to face is ______.
उत्तर
The surface area of a cuboid formed by joining two cubes of side a face to face is 10a2.
Explanation:
We have, two cubes of side a.
These two cubes are joined face-to-face, then the resultant solid figure is a cuboid which has same breadth and height as the joined cubes has length twice of the length of a cube,
i.e. l = 2a, b = a and h = a
Thus, the total surface area of the cuboid = 2(lb + bh + hI)
= 2(2a × a + a × a + a × 2a)
= 2(2a2 + a2 + 2a2)
= 2 × 5a2
= 10a2
APPEARS IN
संबंधित प्रश्न
A plastic box 1.5 m long, 1.25 m wide and 65 cm deep, is to be made. It is to be open at the top. Ignoring the thickness of the plastic sheet, determine:
(i) The area of the sheet required for making the box.
(ii) The cost of sheet for it, if a sheet measuring 1 m2 costs Rs 20.
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?
Find the surface area of a cuboid whose llength = 2 m, breadth = 4 m, height = 5 m .
Three cubes of each side 4 cm are joined end to end. Find the surface area of the resulting cuboid.
Volume of a cuboid is 12 cm3. The volume (in cm3) of a cuboid whose sides are double of the above cuboid is
If l is the length of a diagonal of a cube of volume V, then
If V is the volume of a cuboid of dimensions x, y, z and A is its surface area, then `A/V`
Total surface area of a box of cuboid shape is 500 sq. unit. Its breadth and height is 6 unit and 5 unit respectively. What is the length of that box ?
Find the length of each edge of a cube, if its volume is :
(i) 216 cm3
(ii) 1.728 m3
External dimensions of a closed wooden box are in the ratio 5:4:3. If the cost of painting its outer surface at the rate of Rs 5 per dm2 is Rs 11,750, find the dimensions of the box.
