Advertisements
Advertisements
प्रश्न
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
विकल्प
27 cm2
32 cm2
44 cm2
88 cm2
Advertisements
उत्तर
Length (l), width (b) and height (h) of the rectangular solid are in the ratio 3 : 2 : 1.
So we can take,
(l) = 3x cm
(b) = 2 x cm
(h) = x cm
We need to find the total surface area of the box
Volume of the box,
`V= 48 cm^3`
lbh = 48
(3x)(2x)x = 48
6x3 = 48
x3 = 8
x = 2
Thus,
Surface area of the box,
= 2 (lb+bh+hl)
= 2 [(3x)(2x)+(2x) x +(x)(3x)]
= 2 (11x2)
= 22 x2
= 22 (2)^2
= 88 cm2
Thus total surface area of the box is 88 cm2 .
APPEARS IN
संबंधित प्रश्न
Find the ratio of the total surface area and lateral surface area of a cube.
A tea-packet measures 10 cm × 6 cm × 4 cm. How many such tea-packets can be placed in a cardboard box of dimensions 50 cm × 30 cm × 0.2 m?
A swimming pool is 250 m long and 130 m wide. 3250 cubic metres of water is pumped into it. Find the rise in the level of water.
Find the surface area of a cuboid whose llength = 2 m, breadth = 4 m, height = 5 m .
The external dimensions of a closed wooden box are 27 cm, 19 cm, and 11 cm. If the thickness of the wood in the box is 1.5 cm; find:
- The volume of the wood in the box;
- The cost of the box, if wood costs Rs. 1.20 per cm3;
- A number of 4 cm cubes that could be placed into the box.
A tank 30 m long, 24 m wide, and 4.5 m deep is to be made. It is open from the top. Find the cost of iron-sheet required, at the rate of ₹ 65 per m2, to make the tank.
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.
Find the volume of a cuboid whose diagonal is `3sqrt(29)"cm"` when its length, breadth and height are in the ratio 2 : 3 : 4.
A room is 5m long, 2m broad and 4m high. Calculate the number of persons it can accommodate if each person needs 0.16m3 of air.
