Question

[{(12points)}]

Q1). How many persons can be accommodated in a hall of length 16 m and breadth 12.5 M and height 4.5 M assuming that 6.6 M^3 of air is required for each person?

Q2). The size of a Matchbox is 4cm X 2.5 cm X 1.5 cm. What is the volume of a packet containing 144 matchboxes? How many such packets can be placed in a carton of Size 1.5 m X 84 cm X 60 cm?

Q3). How many planks of size 2 m X 25 cm x 8 cm can be prepared from a wooden block 5 M long, 70 cm broad and 32 cm thick, assuming that there is no wastage?

Q4). How many bricks, each of size 25 cm X 13.5 cm X 6 cm, will be required to build a wall 8 m long, 5.4 metre high and 33 cm thick?

Q5). A wall is 15 m long, 30 cm wide and 4 m high is made of bricks each measuring 22 CM X 12.5 CM X 7.5 CM. If 1/12 (1 over 12) of a total volume of the wall consist of mortar, how many bricks are there in the wall?

Q6). Find the volume, lateral surface area and the total surface area of a cube each of whose edges measures:
i) 7 m
ii) 5.6 cm
iii) 8 dm 5 cm

Q7). The surface area of a cube is 1176 cm^2. Find its volume.

Q8). The volume of a cube is 729 cm^3. Find its surface area.

Q9). The dimensions of a metal block are 2.25 m by 1.5 m by 27 cm. It is melted and recast into cubes, each of side 45 cm. How many cubes are formed?

Q10). If the length of each edge of a cube is doubled, how many times does its volume becomes? How many times does its surface area become?

Q11). A solid cubical block of fine wood costs ₹ 256 at ₹ 500 per m^3. Find its volume and the length of each side.

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Answer 1

Ans.1 number of people that can be in hall by air= volume of hall/air to one person
=(16×12.5×4.5)m^3÷6.6m
=900m^3÷6.6m
=