Advertisements
Advertisements
Question
The length of a cold storage is double its breadth. Its height is 3m. The area of its four walls including doors is 108m2. Find its volume.
Advertisements
Solution
Given that:
The length of a cold storage is double its breadth
Height = 3m
Area of its four walls = 108m2 ...........................(1)
Let the Breadth (b) of cold storage = x m
Thus, the length (l) of cold storage = 2x m
L.S.A of cold storage
= 2 x h x (l + b)
108 = 2 x 3 x (2x + x) ...[From (1)]
= 6 x 3x
18x = 108
x = `(108)/(18)`
x = 6
∴ Length (l) = 2 x 6 = 12m
Breadth (b) = 1 x 6 = 6m
Thus,
Volume of cold storage
= l x b x h
= 12 x 6 x 3
= 216m3.
APPEARS IN
RELATED QUESTIONS
Parveen wanted to make a temporary shelter for her car, by making a box-like structure with tarpaulin that covers all the four sides and the top of the car (with the front face as a flap which can be rolled up). Assuming that the stitching margins are very small, and therefore negligible, how much tarpaulin would be required to make the shelter of height 2.5 m, with base dimensions 4 m × 3 m?
A cuboid is of dimensions 60 cm × 54 cm × 30 cm. How many small cubes with side 6 cm can be placed in the given cuboid?
A village, having a population of 4000, requires 150 litres water per head per day. It has a tank which is 20 m long, 15 m broad and 6 m high. For how many days will the water of this tank last?
If V is the volume of a cuboid of dimensions a, b, c and S is its surface area, then prove that \[\frac{1}{V} = \frac{2}{S}\left( \frac{1}{a} + \frac{1}{b} + \frac{1}{c} \right)\]
The volume of a cube whose surface area is 96 cm2, is
Find the volume and total surface area of a cube whose each edge is:
(i) 8 cm
(ii) 2 m 40 cm.
Four cubes, each of edge 9 cm, are joined as shown below :
Write the dimensions of the resulting cuboid obtained. Also, find the total surface area and the volume
The total surface area of a cuboid is 46m2. If its height is 1m and breadth 3m, find its length and volume.
Find the Total Surface Area and the Lateral Surface Area of a cuboid whose dimensions are: length = 20 cm, breadth = 15 cm, height = 8 cm
A cuboidal tin box opened at the top has dimensions 20 cm × 16 cm × 14 cm. What is the total area of metal sheet required to make 10 such boxes?
