(i) Mass of face X = 350 kg
Total mass of container = 6 * mass of face X (since all faces have the same mass)
Total mass = 6 * 350 = 2100 kg
(ii) 1 tonne = 1000 kg
Mass of container in tonnes = 2100 kg / 1000 = 2.1 tonnes
The diagram shows a large closed container made of steel.
A sketch of the net of the container is shown below.
( a ) Write down the lengths of the edges lettered a, b, c, d, e and f.
A= 3m
B= 7m
C= 3m
D= 7m
E= 3m
F= 7m
( 3 )
( b ) Work out the perimeter of the net.
Perimeter of the net = 2(A + B + C + D + E + F)
Perimeter = 2(3 + 7 + 3 + 7 + 3 + 7)
Perimeter = 2(30)
Perimeter = 60 meters
( 2 )
( c ) Calculate the total surface area of the container.
Total surface area of the container = 2(AC + BD + AE + BF + CE + DF)
Total surface area = 2(3*7 + 7*3 + 3*7 + 7*3 + 3*3 + 7*7)
Total surface area = 2(21 + 21 + 21 + 21 + 9 + 49)
Total surface area = 2(142)
Total surface area = 284 square meters
( 2 )
( d ) Calculate the volume of the container.
Volume of the container = A * B * C
Volume = 3 * 7 * 3
Volume = 63 cubic meters
( 2 )
( e ) ( i ) The face of the container marked X on the net has a mass of
350 kg.
All the faces are made from the same sheet metal.
Calculate the mass of the container.
( 2 )
( ii ) Write your answer to part ( e )( i ) in tonnes.
1 answer