Advertisements
Advertisements
Question
The external dimensions of a closed wooden box are 48 cm, 36 cm, 30 cm. The box is made of 1.5 cm thick wood. How many bricks of size 6 cm × 3 cm × 0.75 cm can be put in this box?
Advertisements
Solution
\[\text { The outer dimensions of the closed wooden box are 48 cm } \times 36 cm \times 30 cm . \]
\[\text { Also, the box is made of a 1 . 5 cm thick wood, so the inner dimensions of the box will be } (2\times1.5=3)\text { cm less}.\]
\[\text { i . e . , the inner dimensions of the box are 45 cm } \times 33 cm \times 27 cm\]
\[ \therefore \text { Volume of the box = 45 } \times 33 \times 27 = 40095 {cm}^3 \]
\[\text { Also, the dimensions of a brick are 6 cm } \times 3 cm \times 0 . 75 cm . \]
\[\text { Volume of a brick = 6 } \times 3 \times 0 . 75 = 13 . 5 {cm}^3 \]
\[ \therefore\text { The number of bricks that can be put in the box }= \frac{40095}{13 . 5} = 2970\]
RELATED QUESTIONS
The length, breadth and height of a room are 5 m, 4 m and 3 m respectively. Find the cost of white washing the walls of the room and the ceiling at the rate of Rs 7.50 per m2.
A 4 cm edge cube is cut into 1 cm edge cubes. Calculate the total surface area of all the small cubes.
A closed iron tank 12 m long, 9 m wide and 4 m deep is to be made. Determine the cost of iron sheet used at the rate of Rs. 5 per metre sheet, sheet being 2 m wide.
The dimensions of a room are 12.5 m by 9 m by 7 m. There are 2 doors and 4 windows in the room; each door measures 2.5 m by 1 .2 m and each window 1 .5 m by I m. Find the cost of painting the walls at Rs. 3.50 per square metre.
How many wooden cubical blocks of side 25 cm can be cut from a log of wood of size 3 m by 75 cm by 50 cm, assuming that there is no wastage?
An ice-cream brick measures 20 cm by 10 cm by 7 cm. How many such bricks can be stored in deep fridge whose inner dimensions are 100 cm by 50 cm by 42 cm?
The length, breadth and height of a rectangular solid are in the ratio 5 : 4 : 2. If the total surface area is 1216 cm2, find the length, the breadth and the height of the solid.
Find the volume and the total surface area of a cuboid, whose :
length = 15 cm, breadth = 10 cm and height = 8 cm.
A closed box measures 66 cm, 36 cm and 21 cm from outside. If its walls are made of metal-sheet, 0.5 cm thick; find :
(i) the capacity of the box ;
(ii) the volume of metal-sheet and
(iii) weight of the box, if 1 cm3 of metal weighs 3.6 gm.
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.
