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.

( 2 )
( c ) Calculate the total surface area of the container.

( 2 )

( d ) Calculate the volume of the container.

1 answer

( b)
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

(c)
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

(d)
Volume of the container = A * B * C
Volume = 3 * 7 * 3
Volume = 63 cubic meters